Results 101 to 110 of about 433,369 (119)

L-fuzzy local compactness

Fuzzy Sets and Systems, 1994
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Kudri, S. R. T., Warner, M. W.
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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 Rings. II.

American Journal of Mathematics, 1951
Un anneau primitif localement compact non discret de caractéristique 0 est une algèbre de dimension finie sur son centre. Même conclusion pour un anneau simple localement compact et non discret possédant des idéaux minimaux. Un théorème de l'A. sur les anneaux semi-simples localement compacts bornés est géneralisé. Part II, voir Am. J. Math. 73, 20--24
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Compactness and Local Compactness

2011
The cover definition of compactness is basically point-free; therefore there is no surprise that the basic facts are very much like in the classical case. But a surprise does come: the point-free variant of Stone-?Cech compactification is fully constructive (no choice principle and no use of the excluded middle).
Jorge Picado, Aleš Pultr
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Locally compact transformation groups

Transactions of the American Mathematical Society, 1961
In ?1 of this paper it is shown that a variety of conditions implying nice behavior for topological transformation groups are, in the presence of separability, equivalent. In ?2 the continuity properties of the stability subgroups are studied. The conditions of ?1 exclude the line acting on the torus in such a way that each orbit is dense. They exclude
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Locally Compact Path Spaces

Applied Categorical Structures, 2005
The author shows that the space \(X^{[0,1]}\) of continuous maps \([0,1]\to X\) 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, it follows that \(X^{[0,1]}\) is locally compact if and only if \(X\) is locally compact and totally path disconnected, where \(X\) is ...
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Locally compact abelian p-groups

Topology and its Applications, 2019
In this interesting and well-written paper the authors study various aspects of \textit{ periodic} locally compact abelian (lca) groups. An lca group \(G\) is called \textit{ periodic} if it is totally disconnected and is a direct union of its compact subgroups.
Herfort W, Hofmann KH, Russo F
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Compact and Weakly Compact Multipliers of Locally Compact Quantum Groups

Bulletin of the Iranian Mathematical Society, 2018
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Medghalchi, Alireza, Mollakhalili, Ahmad
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Compactness properties of locally compact groups

Transformation Groups, 1997
For a discrete group \(\Gamma\) and an integer \(n\), finiteness properties \(FP_n\) and \(F_n\) are considered. They are defined as follows: \(\Gamma\) is of type \(FP_n\) if there is a projective resolution of \(\mathbb{Z} \Gamma\) over the trivial \(\mathbb{Z} \Gamma\)-module \(\mathbb{Z}\) with finitely generated modules in dimension \(\leq n\). \(\
Abels, Herbert, Tiemeyer, A.
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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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