Results 31 to 40 of about 1,329,878 (160)

On cofree S-spaces and cofree S-flows

open access: yesApplied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

Topological Complexity of Configuration Spaces [PDF]

open access: yes, 2010
In this thesis we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem.
COSTA, ARMINDO,EMANUEL   +1 more
core  

SOME KINDS OF SEPARATION AXIOMS ON APPROXIMATION SPACES

open access: yesWasit Journal for Pure Sciences
This paper investigates topological features of rough sets and deals with approximation spaces through topological approaches.The traditional separation axioms for topological spaces are extended to approximation spaces.
hisham jasim
doaj   +1 more source

On soft submaximal spaces

open access: yesHeliyon, 2022
In the present paper, detailed properties of soft submaximal topological spaces have been discussed. It starts by examining how well soft submaximal spaces behave when subjected to some operations, such as: taking soft subspaces, soft products, soft ...
Samer Al Ghour, Zanyar A. Ameen
doaj   +1 more source

Bi-topological spaces [PDF]

open access: yes, 1971
Kelly initiated the study of bi-topological spaces in [3]. In this paper the concepts of pairwise-T, pairwise regular, pairwise Hausdorff, quasi-pseudo-metrizable, and quasi-metrizable are introduced, and the following theorem is proved. Theorem.
Garner, Betty Ruffin   +1 more
core  

Products on Maximal Compact Frames

open access: yesRatio Mathematica, 2023
In topological spaces, many topological properties such as separation properties, paracompactness etc. are preserved under the act of taking product of topological spaces.
Jayaprasad P. N.
doaj   +1 more source

Convergence in topological spaces [PDF]

open access: yes, 1970
This paper will show the inadequacy of sequences to define certain concepts in topological spaces as fundamental as the real numbers. It introduces a generalization of a sequence, called a net, and shows that with nets it is possible to overcome this ...
Frierson, Dargan   +1 more
core  

Bi*-topological space

open access: yesNTU Journal of Pure Sciences
Bi-topological spaces provide a general framework for studying mathematical structures endowed with two distinct topologies, enabling the investigation of concepts that cannot be fully characterized in classical topology.
Fadhil Hussein Abbas, Israa Raad Faisal
doaj   +1 more source

Pairwise Compact In Intuitionistic Double Topological Spaces

open access: yesJournal of Kufa for Mathematics and Computer, 2011
The concept of intuitionistic topological space was introduced by Çoker .The aim of this paper is to discuss the relation between  bitopological spaces and double- topological spaces and give a notion of pairwise compact for double topological spaces .
Hadi J Mustafa   +2 more
doaj   +1 more source

ϱ- TOPOLOGICAL OPERATORS IN TOPOLOGICAL SPACES

open access: yesScience Journal of University of Zakho, 2023
Operation Approach on a new class of topological spaces with -open subsets was called a -open set. In this article, we examined some basic properties of open sets such as closure, , limit points, derived sets, neighbourhood, interior, exterior, boundary,
Shanmugapriya H., Sivakamasundari K.
doaj   +1 more source

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