Results 71 to 80 of about 383 (157)
Topologías de Alexandroff: tres puntos de vista diferentes [PDF]
Se hace un estudio de los espacios de Alexandroff (aquellos que son cerrados para intersecciones) desde tres perspectivas: por filtros, por cubos y por monoides. Se empieza con una serie de definiciones y teoremas básicos. Se caracterizan las topologías
Robles Castro, José Edilberto
core
Realcompact Alexandroff spaces and regular σ-frames
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
On subsets of Alexandroff duplicates [PDF]
summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal and the subsets which are M-spaces in the sense of ...
Mizokami, Takemi, Takemi Mizokami
core
Realization of Permutation Modules via Alexandroff Spaces
AbstractWe 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
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
The small inductive dimension of subsets of Alexandroff spaces
We describe the small inductive dimension ind in the class of Alexandroff spaces by the use of some standard spaces. Then for ind we suggest decomposition, sum and product theorems in the class.
Han, Sang-Eon, +5 more
core +1 more source
On upper bounded T_0 Alexandroff spaces
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]
Tanaka K.
europepmc +1 more source
Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]
Couceiro M, Duffus D.
europepmc +1 more source

