Results 91 to 100 of about 1,198,947 (283)

On continuity of measurable group representations and homomorphisms [PDF]

, 2015
Let G be a locally compact group, and let U be its unitary representation on a Hilbert space H. Endow the space L(H) of linear bounded operators on H with weak operator topology. We prove that if U is a measurable map from G to L(H) then it is continuous.
Kuznetsova, Yulia
core  

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  

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  

Locally compact, $\omega_1$-compact spaces

, 2017
An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many ...
Nyikos, Peter, Zdomskyy, Lyubomyr
core  

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 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  

The existence of one-point connectifications

, 2017
P. Alexandroff proved that a locally compact $T_2$-space has a $T_2$ one-point compactification (obtained by adding a "point at infinity") if and only if it is non-compact.
Koushesh, M. R.
core  

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