Results 11 to 20 of about 1,218,583 (226)
Calibers of compact spaces [PDF]
Transactions of the American Mathematical Society, 1982 LetXXbe a compact Hausdorff space andκ\kappaits Souslin number.2^{2}We prove that ifα\alphais a cardinal such that eitherα\alphaandcf(α)\operatorname {cf} (\alpha )are greater thanκ\kappaand stronglyκ\kappa-inaccessible or elseα\alphais regular and greater thanκ\kappa, thenXXhas(α,ακ⏝)(\alpha , \sqrt [\underparen {\kappa }]{\alpha })caliber ...
S. Argyros, A. Tsarpalias
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On the weak and pointwise topologies in function spaces [PDF]
, 2015 For a compact space $K$ we denote by $C_w(K)$ ($C_p(K)$) the space of continuous real-valued functions on $K$ endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that $K$ is an
Krupski, Mikołaj
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When is the space of semi-additive functionals an absolute (neighbourhood) retract?
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space.
Adilbek Atakhanovich Zaitov +1 more
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Thermofield-Bosonization on Compact Space [PDF]
, 2014 We develop the construction of fermionic fields in terms of bosonic ones to describe free and interaction models in the circle, using thermofielddynamics. The description in the case of finite temperature is developed for both normal modes and zero modes.
Amaral, R. L. P. G., Belvedere, L. V.
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On r-Compactness in Topological and Bitopological Spaces
Axioms, 2023 This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied ...
Jamal Oudetallah +2 more
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Journal of Symbolic Logic, 1998 AbstractIn this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In §1 we prove that Loeb spaces are compact under various assumptions, and in §2 we prove that Loeb spaces are not compact under various other assumptions.
Renling Jin, Saharon Shelah
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On Compactness in Function Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 There are shown some implications from pseudocompactness to compactness or sequential compactness. The latter, sequential compactness, is obtained via metrization.
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Journal of Kufa for Mathematics and Computer, 2011 Using the concept of H-open set, we introduce the concept of H-compact space. Several properties of H-compact spaces are proved , among these are: • H-closed subset of H-compact is     H-compact.
Hussein Kadhum Asker
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Locally rich compact sets [PDF]
, 2015 We construct a compact metric space that has any other compact metric space as a tangent, with respect to the Gromov-Hausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other ...
Chen, Changhao, Rossi, Eino
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