Results 61 to 70 of about 666,427 (74)

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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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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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.
Breuckmann, TK, Aygun, HALİS, Kudri, SRT   +2 more
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Measures on locally compact spaces

2004
Definition 1.—Let X be a topological space, let E be either \(\overline R \) or a vector space over R, and let f be a mapping of X into E. The smallest closed set S in X such that f(x)=0 on X − S (in other words, the closure in X of the set of all x ∈ X such that f(x)≠0) is called the support of f and is denoted Supp(f).
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Spaces with Locally Compact Completions are Compact

The American Mathematical Monthly, 1987
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On Summation on Locally Compact Spaces

Mathematische Nachrichten, 1976
Frank Terpe, Jürgen Flachsmeyer
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