Results 71 to 80 of about 365 (176)
Scott Topology and its Relation to the Alexandroff Topology [PDF]
, 2008 In this thesis, we survey the general topological concepts for the Scott topology, one of the fundamental foundations of theoretical computer science.
Al-hanafi, Wael Mohammed
core
The Alexandroff one-point compactification as a prototype for extensions
, 2012 Using the Alexandroff one-point compactification as a point of departure, we study a general procedure for building an extension 〈X∪I,τ0〉 of a topological space 〈X,τ〉, given a family {ℬi:i∈I} of nontrivial closed ideals on X, indexed by the intended ...
Vipera, Maria Cristina, Beer, Gerald
core +1 more source
SOFT Λβ-CLOSED SETS IN SOFT TOPOLOGICAL SPACES
Journal of New Theory, 2015 − In this paper, we introduce the notions of soft β-kernel of soft sets, S∧β-closed sets andS∧β-open sets in soft topological spaces. The concept of S∧β-sets, as a generalization to the classof soft β-open sets, is defined.
Rodyna Ahmed Hosny +1 more
doaj
Realcompact Alexandroff spaces and regular σ-frames
, 1981 Bibliography: pages 96-103.In the early 1940's, A.D. Alexandroff [1940), [1941) and [1943] introduced a concept of space, more general than topological space, in order to obtain a simple connection between a space and the system of real-valued functions ...
Gilmour, Christopher Robert Anderson
core
Locally compact spaces of countable core and Alexandroff compactification
, 2007 We introduce a new cardinal invariant, core of a space, defined for any locally compact Hausdorff space X and denoted by cor(X). Locally compact spaces of countable core generalize locally compact σ-compact spaces in a way that is slightly exotic, but ...
Arhangel'skii, A.V.
core +1 more source
Realization of Permutation Modules via Alexandroff Spaces
Results in MathematicsAbstractWe raise the question of the realizability of permutation modules in the context of Kahn’s realizability problem for abstract groups and the G-Moore space problem. Specifically, given a finite group G, we consider a collection $$\{M_i\}_{i=1}^n$$ {
Cristina Costoya +2 more
openaire +4 more sources
Fiber bundles over Alexandroff spaces
, 2019 We introduce a topological variant of the Grothendieck construction which serves to represent every fiber bundle over an Alexandroff space. Using this result we give a classification theorem for fiber bundles over Alexandroff spaces with T$_0$ fiber and we construct a universal bundle for bundles with T$_0$ fiber over posets which are cofibrant objects
Cianci, Nicolás, Ottina, Miguel
openaire +2 more sources
On upper bounded T_0 Alexandroff spaces
International Journal of Contemporary Mathematical Sciences, 2014 In this paper, we investigate some properties on a class of T0 A−spaces called upper bounded. This class contains properly the class of Artinian T0 A−spaces. We prove that if X is a UB T0 A−space, then it is always strongly irresolvable and ∀x ∈ X, ˆ x ∅. Moreover, we prove that = PO(X) ⊆ SO(X).
Hisham Mahdi, Lubna Elostath
openaire +1 more source
Parametrized topological complexity of poset-stratified spaces. [PDF]
J Appl Comput Topol, 2022 Tanaka K.
europepmc +1 more source