Results 61 to 70 of about 684,952 (232)
Products of locally compact spaces are k_R-spaces [PDF]
arXiv, 2018 A theorem by Norman L. Noble from 1970 asserts that every product of completely regular, locally pseudo-compact k_R-spaces is a k_R-space. As a consequence, all direct products of locally compact Hausdorff spaces are k_R-spaces. We provide a streamlined proof for this fact.
arxiv
Arco-Conexión local en las compactaciones de Alexándrov
Revista Integración, 1994 It is proved that the Alexándrov compactification of a locally compact, locally path-connected and paracompact space is locally path-connected.
Jairo A. Charris, Martha P. Dussanutor
doaj
On a stronger form of hereditary compactness in product spaces [PDF]
arXiv, 1998 The aim of this paper is to continue the study of sg-compact spaces. The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces. In our paper we shall consider sg-compactness in product spaces. Our main result says that if a product space is sg-compact, then either all factor spaces are finite, or exactly one factor
arxiv
Localization and compactness of operators on Fock spaces
Journal of Mathematical Analysis and Applications, 2018 23 ...
HU, Zhangjian +2 more
openaire +5 more sources
Arco-Conexión local en las compactaciones de Alexándrov
Revista Integración, 1995 It is proved that the Alexándrov compactification of a locally compact, locally path connected and paracompact space is locally path connected.
Jairo A. Charris, Martha P. Dussan
doaj
Journal of Mathematics, 2013 The concentration function problem for locally compact groups is concerned with the structure of groups admitting adapted nondissipating random walks.
Wilfried Hazod
doaj +1 more source
On cofree S-spaces and cofree S-flows
Applied General Topology, 2012 Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj +1 more source
Properties of the Space of Sections of Some Banach Bundles [PDF]
arXiv, 2018 One shows for Banach bundles in a certain class that having a second countable locally compact Hausdorff base space and separable fibers implies the separability of the Banach space of the all sections that vanish at infinity. In the reverse direction, it is proved that for a Banach bundle with locally compact Hausdorff base space the separability of ...
arxiv
An approach to harmonic analysis on non-locally compact groups I: level structures over locally compact groups [PDF]
arXiv, 2019 We define a class of spaces on which one may generalise the notion of compactness following motivating examples from higher-dimensional number theory. We establish analogues of several well-known topological results (such as Tychonoff's Theorem) for such spaces.
arxiv
Effective local compactness and the hyperspace of located sets [PDF]
arXiv, 2019 We revisit the definition of effective local compactness, and propose an approach that works for arbitrary countably-based spaces extending the previous work on computable metric spaces. We use this to show that effective local compactness suffices to ensure that the hyperspace of closed-and-overt sets (aka located sets, aka closed sets with full ...
arxiv