Results 71 to 80 of about 5,897,592 (221)

Locally compact space and continuity

open access: yesBibechana, 2010
Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary   +1 more
doaj   +3 more sources

N-Fuzzy BI-Topological Space and Separation Axioms

open access: yesJournal of New Theory, 2018
In this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi ...
Muhammad Shahzad   +3 more
doaj  

A new look at Counterexamples in topology [PDF]

open access: yes, 2002
The book Counterexamples in Topology is a useful catalogue of topological spaces and properties. This thesis extends that catalogue to the properties of sobriety and packedness, and describes some related theory. A purely topological account of sobriety
Kirby, J
core  

alpha-Topological Vector Spaces

open access: yesHacettepe Journal of Mathematics and Statistics, 2017
Summary: The notion of \(\alpha\)-topological vector space is introduced and several properties are studied. A~complete comparison between this class and the class of topological vector spaces is presented. In particular, \(\alpha\)-topological vector spaces are shown to be independent from topological vector spaces. Finally, a sufficient condition for
openaire   +4 more sources

Observation of higher-order time-dislocation topological modes

open access: yesNature Communications
Topological dislocation modes resulting from the interplay between spatial dislocations and momentum-space topology have recently attracted significant interest.
Jia-Hui Zhang   +6 more
doaj   +1 more source

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

A better framework for first countable spaces

open access: yesApplied General Topology, 2003
In the realm of semiuniform convergence spaces first countability is divisible and leads to a well-behaved topological construct with natural function spaces and one-point extensions such that countable products of quotients are quotients.
Gerhard Preuss
doaj   +1 more source

Soft Topology in Ideal Topological Spaces

open access: yesHacettepe Journal of Mathematics and Statistics, 2018
Summary: In this paper, \((X,\tau,E)\) denotes a soft topological space and \(\overline{\mathcal{I}}\) a soft ideal over \(X\) with the same set of parameters \(E\). We define an operator \((F,E)^\theta(\overline{\mathcal{I}},\tau)\) called the \(\theta\)-local function of \((F,E)\) with respect to \(\overline{\mathcal{I}}\) and \(\tau\).
openaire   +3 more sources

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