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On ∂-partial-locally compact space [PDF]
Mathematics and Computational Sciences, 2023 The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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Local Connection in Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1950 It was proved by Hurewiczl that a compact space which is both LC1 and lc" is LCD. In the present paper the corresponding result for locally compact spaces is proved, (a) for uniform local connection, and (b) for relative local connection.2 The extension of Hurewicz's theorem to locally compact spaces is included in (b). The main difficulty in extending
Michelle Newman
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Locally compact space and continuity
Bibechana, 2010 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary +1 more
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Compact sheaves on a locally compact space
Proceedings of the American Mathematical Society, 2023 We describe the compact objects in the $\infty$-category of $\mathcal C$-valued sheaves $\text{Shv} (X,\mathcal C)$ on a hypercomplete locally compact Hausdorff space $X$, for $\mathcal C$ a compactly generated stable $\infty$-category. When $X$ is a non-
Harr, Oscar
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Quantum Locally Compact Metric Spaces [PDF]
Journal of Functional Analysis, 2012 We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel.
Akemann +35 more
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Compact manifolds with computable boundaries [PDF]
Logical Methods in Computer Science, 2013 We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable ...
Zvonko Iljazovic
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A Compactification of Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 Every locally compact space X X has its topology determined by its 1-1 compact images and hence has a compactification ξ X \xi X obtained as the closure of the natural embedding of X X in the product of those images, just as the Stone-Čech compactification β X
F. W. Lozier
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On some compact almost Kähler locally symmetric space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗-Einstein vnanifold with non-negative ,∗-scalar curvature, then M is a Kähler manifold.
Takashi Oguro
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Pseudo Locally Compact Spaces [PDF]
Proceedings of the American Mathematical Society, 1957 Annette Sinclair
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Locally compact, b-compact spaces
Indagationes Mathematicae (Proceedings), 1969 R. B. Kirk
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