Results 21 to 30 of about 1,258,991 (327)
Calibers of compact spaces [PDF]
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 ...
ARGYROS, S, TSARPALIAS, A
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When is the space of semi-additive functionals an absolute (neighbourhood) retract?
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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On r-Compactness in Topological and Bitopological Spaces
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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Thermofield-Bosonization on Compact Space [PDF]
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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Locally rich compact sets [PDF]
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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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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A new class of H H -closed spaces, herein referred to as the class of adherent compact spaces, is introduced—and shown to be properly contained in the class of C C -compact spaces. It is also shown, using a construction of Goss and Viglino, that these spaces need not be seminormal.
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Locally compact space and continuity
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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On open well-filtered spaces [PDF]
We introduce and study a new class of $T_0$ spaces, called open well-filtered spaces. The main results we proved include (1) every well-filtered space is an open well-filtered space; (2) every core-compact open well-filtered space is sober.
Chong Shen +3 more
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The aim of this paper is to introduces and study the concept of CSO-compact space via the notation of simply-open sets as well as to investigate their relationship to some well known classes of topological spaces and give some of his properties.
Baghdad Science Journal
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