Results 81 to 90 of about 4,879,805 (235)

On fuzzy topological spaces

open access: yesJournal of Mathematical Analysis and Applications, 1981
AbstractIn this paper, a few separation properties and some aspects of subspace fuzzy topology have been studied, where both the crisp and the fuzzy elements have been taken into consideration. Since the conventional definition of compactness is not quite meaningful in Hausdorff fuzzy spaces (as introduced by us), a new more natural definition of ...
openaire   +2 more sources

Space, matter and topology [PDF]

open access: yesNature Physics, 2016
An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
openaire   +3 more sources

Tilings in topological spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well ...
F. G. Arenas
doaj   +1 more source

On the Depth of Topological Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
In this short note we prove that Kowalsky’s star-space of weight ω 1 {\omega _1} is a suitable counterexample to a conjecture of I. Juhàsz.
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Integration in a convex linear topological space

open access: yes, 1940
This paper is concerned with a theory of integration for functions with values in a convex linear topological space. We consider an integral which is essentially an extension to this general space of the integral studied by Garrett Birkhoff [1] in a ...
R. Phillips
semanticscholar   +1 more source

Topological Test Spaces [PDF]

open access: yesInternational Journal of Theoretical Physics, 2005
12 pp., LaTeX 2e. To appear in Int. J.
openaire   +3 more sources

New concepts in the theory of topological space---supercondensed set, subcondensed set, and condensed set.

open access: yes, 1971
The theory of topological space is usually constructed upon the axioms of neighborhood. One defines "open set", "closed set", "open kernel", and "closure" using the concept of neighborhood. Furthermore one introduces the concept of accumulation point and
Yoshinori Isomichi
semanticscholar   +1 more source

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