Results 241 to 250 of about 1,198,947 (283)

Locally compact, ω1-compact spaces

Annals of Pure and Applied Logic
An $ω_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $ω_1$-compact space is $σ$-countably compact, i.e., the union of countably many countably compact spaces. These conditions involve very elementary properties.
Nyikos, Peter, Zdomskyy, Lyubomyr
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Locally Compact Spaces

1995
A topological space is locally compact if every point has an open nbhd with compact closure. Clearly, compact spaces and closed subspaces of locally compact spaces are locally compact. Products of finitely many locally compact spaces are locally compact iff all but finitely many of the factors are compact.
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Locally Compact Spaces

1950
In this section we shall derive a few auxiliary topological results which, because of their special nature, are usually not discussed in topology books.
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Co-compact Gabor Systems on Locally Compact Abelian Groups

, 2014
In this work we extend classical structure and duality results in Gabor analysis on the euclidean space to the setting of second countable locally compact abelian (LCA) groups.
Mads S. Jakobsen, J. Lemvig
semanticscholar   +1 more source

Measures on Locally Compact Spaces

1980
Chapter 7 is devoted to the Riesz representation theorem and related results. The first section (Section 7.1) contains some basic facts about locally compact Hausdorff spaces, the spaces that provide the natural setting for the Riesz representation theorem, while the second section (Section 7.2) gives a proof of the Riesz representation theorem.
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Locally Compact and Euclidean Spaces

1978
Except in the examples, the set S on which the measures have been defined (more precisely, on certain subsets of which it has been defined) has been an abstract set, devoid of any special structure. In the particular case in which S has additionally the structure of a topological space, e.g., when S is euclidean space, it is natural to consider the ...
Ray A. Kunze, Irving E. Segal
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Locally Compact Path Spaces

Applied Categorical Structures, 2005
It is shown that the space X [0,1], of continuous maps [0,1]→X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. For a T 1-space X, it follows that X [0,1] is locally compact if and only if X is locally compact and ...
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Existence of a σ finite invariant measure for a Markov process on a locally compact space

, 1968
S. Foguel
semanticscholar   +1 more source

Choquet integral and fuzzy measures on locally compact space

Fuzzy Sets Syst., 1998
M. Sugeno, Y. Narukawa, T. Murofushi
semanticscholar   +1 more source

About Weakly Locally Compact Spaces

2004
In an L-topological space we present good definitions for weak local compactness. We obtain the regularity and a one point compactification theorem for weakly locally compact spaces.
Aygun, HALİS, Kudri, SRT, Breuckmann, TK   +2 more
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