**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**1466

# Search results for: Hausdorff topological space.

##### 1466 Approximation to the Hardy Operator on Topological Measure Spaces

**Authors:**
Kairat T. Mynbaev,
Elena N. Lomakina

**Abstract:**

We consider a Hardy type operator generated by a family of open subsets of a Hausdorff topological space. The family is indexed with non-negative real numbers and is totally ordered. For this operator, we obtain two-sided bounds of its norm, a compactness criterion and bounds for its approximation numbers. Previously bounds for its approximation numbers have been established only in the one-dimensional case, while we do not impose any restrictions on the dimension of the Hausdorff space. The bounds for the norm and conditions for compactness have been found earlier but our approach is different in that we use domain partitions for all problems under consideration.

**Keywords:**
Approximation numbers,
boundedness and
compactness,
multidimensional Hardy operator,
Hausdorff
topological space.

##### 1465 The Countabilities of Soft Topological Spaces

**Authors:**
Weijian Rong

**Abstract:**

Soft topological spaces are considered as mathematical tools for dealing with uncertainties, and a fuzzy topological space is a special case of the soft topological space. The purpose of this paper is to study soft topological spaces. We introduce some new concepts in soft topological spaces such as soft first-countable spaces, soft second-countable spaces and soft separable spaces, and some basic properties of these concepts are explored.

**Keywords:**
soft sets,
soft first-countable spaces,
soft second countable
spaces,
soft separable spaces,
soft Lindelöf.

##### 1464 Soft Connected Spaces and Soft Paracompact Spaces

**Authors:**
Fucai Lin

**Abstract:**

Soft topological spaces are considered as mathematical tools for dealing with uncertainties, and a fuzzy topological space is a special case of the soft topological space. The purpose of this paper is to study soft topological spaces. We introduce some new concepts in soft topological spaces such as soft closed mapping, soft open mappings, soft connected spaces and soft paracompact spaces. We also redefine the concept of soft points such that it is reasonable in soft topological spaces. Moreover, some basic properties of these concepts are explored.

**Keywords:**
soft sets,
soft open mappings,
soft closed mappings,
soft connected spaces,
soft paracompact spaces.

##### 1463 Hutchinson-Barnsley Operator in Fuzzy Metric Spaces

**Authors:**
R. Uthayakumar,
D. Easwaramoorthy

**Abstract:**

**Keywords:**
Fractals,
Iterated Function System,
Hutchinson- Barnsley Operator,
Fuzzy Metric Space,
Hausdorff Fuzzy Metric.

##### 1462 Hutchinson-Barnsley Operator in Intuitionistic Fuzzy Metric Spaces

**Authors:**
R. Uthayakumar,
D. Easwaramoorthy

**Abstract:**

The main purpose of this paper is to prove the intuitionistic fuzzy contraction properties of the Hutchinson-Barnsley operator on the intuitionistic fuzzy hyperspace with respect to the Hausdorff intuitionistic fuzzy metrics. Also we discuss about the relationships between the Hausdorff intuitionistic fuzzy metrics on the intuitionistic fuzzy hyperspaces. Our theorems generalize and extend some recent results related with Hutchinson-Barnsley operator in the metric spaces to the intuitionistic fuzzy metric spaces.

**Keywords:**
Contraction,
Iterated Function System,
Hutchinson- Barnsley Operator,
Intuitionistic Fuzzy Metric Space,
Hausdorff Intuitionistic Fuzzy Metric.

##### 1461 Structure of Covering-based Rough Sets

**Authors:**
Shiping Wang,
Peiyong Zhu,
William Zhu

**Abstract:**

Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view.

**Keywords:**
Covering,
poset,
down-set,
lattice,
topological space,
topological base.

##### 1460 A Rigid Point Set Registration of Remote Sensing Images Based on Genetic Algorithms and Hausdorff Distance

**Authors:**
F. Meskine,
N. Taleb,
M. Chikr El-Mezouar,
K. Kpalma,
A. Almhdie

**Abstract:**

**Keywords:**
Feature extraction,
Genetic algorithms,
Hausdorff distance,
Image registration,
Point registration.

##### 1459 Topological Quantum Diffeomorphisms in Field Theory and the Spectrum of the Space-Time

**Authors:**
Francisco Bulnes

**Abstract:**

*TM*to

*T*M*) are demonstrated where these last states are corresponding to bosonic extensions of a spectrum of the space-time or direct image of the functor Spec, on space-time. This establishes a distinguished diffeomorphism defined by the mapping from the corresponding loops space to wrapping category of the Floer cohomology complex which furthermore relates in certain proportion

*D*-branes (certain

*D*-modules) with strings. This also gives to place to certain conjecture that establishes equivalences between moduli spaces that can be consigned in a moduli identity taking as space-time the Hitchin moduli space on

*G*, whose dual can be expressed by a factor of a bosonic moduli spaces.

**Keywords:**
Floer cohomology,
Fukaya conjecture,
Lagrangian submanifolds,
spectrum of ring,
topological quantum diffeomorphisms.

##### 1458 Complexity of Multivalued Maps

**Authors:**
David Sherwell,
Vivien Visaya

**Abstract:**

**Keywords:**
Multivalued maps,
Topological entropy,
Selectors

##### 1457 Topological Queries on Graph-structured XML Data: Models and Implementations

**Authors:**
Hongzhi Wang,
Jianzhong Li,
Jizhou Luo

**Abstract:**

**Keywords:**
XML,
Graph Structure,
Topological query.

##### 1456 Integral Domains and Their Algebras: Topological Aspects

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
valuation domains,
integral domains.

##### 1455 An Alternative Proof for the Topological Entropy of the Motzkin Shift

**Authors:**
Fahad Alsharari,
Mohd Salmi Md Noorani

**Abstract:**

A Motzkin shift is a mathematical model for constraints on genetic sequences. In terms of the theory of symbolic dynamics, the Motzkin shift is nonsofic, and therefore, we cannot use the Perron- Frobenius theory to calculate its topological entropy. The Motzkin shift M(M,N) which comes from language theory, is defined to be the shift system over an alphabet A that consists of N negative symbols, N positive symbols and M neutral symbols. For an x in the full shift, x will be in the Motzkin subshift M(M,N) if and only if every finite block appearing in x has a non-zero reduced form. Therefore, the constraint for x cannot be bounded in length. K. Inoue has shown that the entropy of the Motzkin shift M(M,N) is log(M + N + 1). In this paper, a new direct method of calculating the topological entropy of the Motzkin shift is given without any measure theoretical discussion.

**Keywords:**
Motzkin shift,
topological entropy.

##### 1454 Labyrinth Fractal on a Convex Quadrilateral

**Authors:**
Harsha Gopalakrishnan,
Srijanani Anurag Prasad

**Abstract:**

Quadrilateral Labyrinth Fractals are a type of fractals presented in this paper. They belong to a unique class of fractals on any plane quadrilateral. The previously researched labyrinth fractals on the unit square and triangle inspire this form of fractal. This work describes how to construct a quadrilateral labyrinth fractal and looks at the circumstances in which it can be understood as the attractor of an iterated function system. Furthermore, some of its topological properties and the Hausdorff and box-counting dimensions of the quadrilateral labyrinth fractals are studied.

**Keywords:**
Fractals,
labyrinth fractals,
dendrites,
iterated function
system,
non-self similar,
non-self affine,
connected,
path connected.

##### 1453 Topological Sensitivity Analysis for Reconstruction of the Inverse Source Problem from Boundary Measurement

**Authors:**
Maatoug Hassine,
Mourad Hrizi

**Abstract:**

**Keywords:**
Geometric inverse source problem,
heat equation,
topological sensitivity,
topological optimization,
Kohn-Vogelius
formulation.

##### 1452 Elemental Graph Data Model: A Semantic and Topological Representation of Building Elements

**Authors:**
Yasmeen A. S. Essawy,
Khaled Nassar

**Abstract:**

With the rapid increase of complexity in the building industry, professionals in the A/E/C industry were forced to adopt Building Information Modeling (BIM) in order to enhance the communication between the different project stakeholders throughout the project life cycle and create a semantic object-oriented building model that can support geometric-topological analysis of building elements during design and construction. This paper presents a model that extracts topological relationships and geometrical properties of building elements from an existing fully designed BIM, and maps this information into a directed acyclic Elemental Graph Data Model (EGDM). The model incorporates BIM-based search algorithms for automatic deduction of geometrical data and topological relationships for each building element type. Using graph search algorithms, such as Depth First Search (DFS) and topological sortings, all possible construction sequences can be generated and compared against production and construction rules to generate an optimized construction sequence and its associated schedule. The model is implemented in a C# platform.

**Keywords:**
Building information modeling,
elemental graph data model,
geometric and topological data models,
and graph theory.

##### 1451 On Fuzzy Weakly-Closed Sets

**Authors:**
J. Mahanta,
P.K. Das

**Abstract:**

A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and fuzzy weakly closed space.

**Keywords:**
Fuzzy weakly-closed set,
fuzzy weakly-closed
space,
fuzzy weakly-compactness,
MSC: 54A40,
54D30.

##### 1450 A Supervised Text-Independent Speaker Recognition Approach

**Authors:**
Tudor Barbu

**Abstract:**

We provide a supervised speech-independent voice recognition technique in this paper. In the feature extraction stage we propose a mel-cepstral based approach. Our feature vector classification method uses a special nonlinear metric, derived from the Hausdorff distance for sets, and a minimum mean distance classifier.

**Keywords:**
Text-independent speaker recognition,
mel cepstral
analysis,
speech feature vector,
Hausdorff-based metric,
supervised
classification.

##### 1449 Topology Optimization of Aircraft Fuselage Structure

**Authors:**
Muniyasamy Kalanchiam,
Baskar Mannai

**Abstract:**

**Keywords:**
Fuselage,
Topology optimization,
payloads,
designoptimization,
Finite Element Analysis.

##### 1448 Optimization of Lakes Aeration Process

**Authors:**
Mohamed Abdelwahed

**Abstract:**

**Keywords:**
Quasi Stokes equations,
Numerical simulation,
topological
optimization,
sensitivity analysis.

##### 1447 Strongly Screenableness and its Tychonoff Products

**Authors:**
Jianjun Wang,
Peiyong Zhu

**Abstract:**

In this paper, we prove that if X is regular strongly screenable DC-like (C-scattered), then X ×Y is strongly screenable for every strongly screenable space Y . We also show that the product i∈ω Yi is strongly screenable if every Yi is a regular strongly screenable DC-like space. Finally, we present that the strongly screenableness are poorly behaved with its Tychonoff products.

**Keywords:**
Topological game,
strongly screenable,
scattered,
Cscattered.

##### 1446 Magnetic Field Effects on Parabolic Graphene Quantum Dots with Topological Defects

**Authors:**
Defne Akay,
Bekir S. Kandemir

**Abstract:**

**Keywords:**
Coulomb impurity,
graphene cones,
graphene
quantum dots,
topological defects.

##### 1445 Reducing the False Rejection Rate of Iris Recognition Using Textural and Topological Features

**Authors:**
M. Vatsa,
R. Singh,
A. Noore

**Abstract:**

**Keywords:**
Iris recognition,
textural features,
topological
features.

##### 1444 Character Segmentation Method for a License Plate with Topological Transform

**Authors:**
Jaedo Kim,
Youngjoon Han,
Hernsoo Hahn

**Abstract:**

**Keywords:**
License Plate Detection,
Character Segmentation,
Perspective Projection,
Topological Transform.

##### 1443 Algebras over an Integral Domain and Immediate Neighbors

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
immediate neighbors,
integral domains.

##### 1442 On Submaximality in Intuitionistic Topological Spaces

**Authors:**
Ahmet Z. Ozcelik,
Serkan Narli

**Abstract:**

**Keywords:**
Intuitionistic set; intuitionistic topology;intuitionistic submaximality and mega-connectedness.

##### 1441 Fast Facial Feature Extraction and Matching with Artificial Face Models

**Authors:**
Y. H. Tsai,
Y. W. Chen

**Abstract:**

**Keywords:**
Facial feature extraction,
AdaBoost,
Active shapemodel,
Hausdorff distance

##### 1440 Laplace Transformation on Ordered Linear Space of Generalized Functions

**Authors:**
K. V. Geetha,
N. R. Mangalambal

**Abstract:**

**Keywords:**
Laplace transformable generalized function,
positive cone,
topology of bounded convergence

##### 1439 Mapping Semantic Networks to Undirected Networks

**Authors:**
Marko A. Rodriguez

**Abstract:**

**Keywords:**
general-modeling,
multi-relational networks,
semantic networks

##### 1438 Comparing and Combining the Axial with the Network Maps for Analyzing Urban Street Pattern

**Authors:**
Nophaket Napong

**Abstract:**

Rooted in the study of social functioning of space in architecture, Space Syntax (SS) and the more recent Network Pattern (NP) researches demonstrate the 'spatial structures' of city, i.e. the hierarchical patterns of streets, junctions and alley ends. Applying SS and NP models, planners can conceptualize the real city-s patterns. Although, both models yield the optimal path of the city their underpinning displays of the city-s spatial configuration differ. The Axial Map analyzes the topological non-distance-based connectivity structure, whereas, the Central-Node Map and the Shortcut-Path Map, in contrast, analyze the metrical distance-based structures. This research contrasts and combines them to understand various forms of city-s structures. It concludes that, while they reveal different spatial structures, Space Syntax and Network Pattern urban models support each the other. Combining together they simulate the global access and the locally compact structures namely the central nodes and the shortcuts for the city.

**Keywords:**
Street pattern,
space syntax,
syntactic and metrical models,
network pattern models.

##### 1437 TFRank: An Evaluation of Users Importance with Fractal Views in Social Networks

**Abstract:**

**Keywords:**
TFRank,
Fractal Importance,
Topological Importance,
Social Network