Results 21 to 30 of about 126,625 (241)

On a type of generalized open sets

open access: yesApplied General Topology, 2011
In this paper, a new class of sets called μ-generalized closed (briefly μg-closed) sets in generalized topological spaces are introduced and studied. The class of all μg-closed sets is strictly larger than the class of all μ-closed sets (in the sense of ...
Bishwambhar Roy
doaj   +1 more source

Higher topological complexity of aspherical spaces [PDF]

open access: yesTopology and its Applications, 2019
In this article we study the higher topological complexity ${\sf TC}_r(X)$ in the case when $X$ is an aspherical space, $X=K(\pi, 1)$ and $r\ge 2$. We give a characterisation of ${\sf TC}_r(K(\pi, 1))$ in terms of classifying spaces for equivariant ...
M. Farber, J. Oprea
semanticscholar   +1 more source

Some new properties on soft topological spaces

open access: yesAnnals of Fuzzy Mathematics and Informatics, 2019
. In this paper, we introduce and study some new soft properties namely, soft R 0 and soft R 1 ( SR i , for short i = 0 , 1) by using the concept of distinct soft points and we obtain some of their properties.
S. Saleh
semanticscholar   +1 more source

On Semicompact Sets and Associated Properties

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
We continue the study of semicompact sets in a topological space. Several properties, mapping properties of semicompact sets are studied. A special interest to 𝑆𝐶𝑆 spaces is given, where a space 𝑋 is 𝑆𝐶𝑆 if every subset of 𝑋 which is semicompact in 𝑋 is
Mohammad S. Sarsak
doaj   +1 more source

Dynamics of weighted composition operators on function spaces defined by local properties

open access: yes, 2019
We study topological transitivity/hypercyclicity and topological (weak) mixing for weighted composition operators on locally convex spaces of scalar-valued functions which are defined by local properties.
Kalmes, Thomas
core   +1 more source

Oka manifolds: From Oka to Stein and back [PDF]

open access: yes, 2013
Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert's classification of principal holomorphic fiber bundles over Stein spaces.
Forstneric, Franc
core   +2 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

open access: yes, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir   +2 more
core   +3 more sources

Some properties of R i -axioms via multi-set topological spaces

open access: yesJournal of Mathematics and Computer Science
multi-set are sets that are allowed to have repeated members, that is a multi-set M on a set U is a count function C M from U to non-negative numbers. This study focuses on introducing and analyzing two new classes of separation axioms named, M - R 0 and
S. Saleh   +3 more
semanticscholar   +1 more source

On the paranormed binomial sequence spaces

open access: yesUniversal Journal of Mathematics and Applications, 2018
In this paper the sequence spaces $b_0^{r,s}(p)$, $b_c^{r,s}(p)$, $b_{\infty}^{r,s}(p)$ and $b^{r,s}(p)$ which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces $b_0^{r,s}(p ...
Ali Köseoğlu   +2 more
doaj   +1 more source

S-duality in Abelian gauge theory revisited

open access: yes, 2011
Definition of the partition function of U(1) gauge theory is extended to a class of four-manifolds containing all compact spaces and certain asymptotically locally flat (ALF) ones including the multi-Taub--NUT spaces. The partition function is calculated
Besse   +25 more
core   +1 more source

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