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Compact Spaces
"... Summary. The article contains definition of a compact space and some theorems about compact spaces. The notions of a cover of a set and a centered family are defined in the article to be used in these theorems. A set is compact in the topological space if and only if every open cover of the set has ..."
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Summary. The article contains definition of a compact space and some theorems about compact spaces. The notions of a cover of a set and a centered family are defined in the article to be used in these theorems. A set is compact in the topological space if and only if every open cover of the set has
COMPACTLY FUNCTIONALLY COMPACT SPACES
"... ABSTRACT. In this paper it is shown that a Hausdorff space can be embedded in an Hclosed space with the property that every compact subset has a local base of regular open sets. Simple examples of a finitely functionally compact space that is not compactly functionally compact and a seminormal H ..."
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ABSTRACT. In this paper it is shown that a Hausdorff space can be embedded in an Hclosed space with the property that every compact subset has a local base of regular open sets. Simple examples of a finitely functionally compact space that is not compactly functionally compact and a seminormal H
ON SEMI COMPACT SPACES
"... In a recent paper [1] some properties of semi compact spaces have been presented. The present paper continuous further study of the properties of semi compact spaces. For example, semi continuous image of a semi compact space is compact. ..."
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In a recent paper [1] some properties of semi compact spaces have been presented. The present paper continuous further study of the properties of semi compact spaces. For example, semi continuous image of a semi compact space is compact.
Measures on Corson Compact Spaces
"... this paper we consider the class of all Corson compact spaces. Recall that a compact space X is called Corson compact if it can be embedded in a \Sigmaproduct of real lines. Since every separable subspace of a Corson compact space is second countable, it is easy to see that no Corson compact space ..."
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Cited by 2 (1 self)
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this paper we consider the class of all Corson compact spaces. Recall that a compact space X is called Corson compact if it can be embedded in a \Sigmaproduct of real lines. Since every separable subspace of a Corson compact space is second countable, it is easy to see that no Corson compact space
On fuzzifying nearly compact spaces
, 2010
"... This paper considers fuzzifying topologies, a special case of Ifuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (in Łukasie ..."
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Łukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under
COUNTABLY ZCOMPACT SPACES
, 2014
"... Abstract. In this work we study countably zcompact spaces and zLindelof spaces. Several new properties of them are given. It is proved that every countably zcompact space is pseuodocompact (a space on which every real valued continuous function is bounded). Spaces which are countably zcompact b ..."
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Abstract. In this work we study countably zcompact spaces and zLindelof spaces. Several new properties of them are given. It is proved that every countably zcompact space is pseuodocompact (a space on which every real valued continuous function is bounded). Spaces which are countably zcompact
Small Valdivia Compact Spaces
, 2008
"... We prove a preservation theorem for the class of Valdivia compact spaces, which involves inverse sequences of “simple ” retractions. Consequently, a compact space of weight � ℵ1 is Valdivia compact iff it is the limit of an inverse sequence of metric compacta whose bonding maps are retractions. As a ..."
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Cited by 9 (4 self)
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We prove a preservation theorem for the class of Valdivia compact spaces, which involves inverse sequences of “simple ” retractions. Consequently, a compact space of weight � ℵ1 is Valdivia compact iff it is the limit of an inverse sequence of metric compacta whose bonding maps are retractions
More on sgcompact spaces
 Portug. Math
, 1998
"... The aim of this paper is to continue the study of sgcompact spaces, a topological notion much stronger than hereditary compactness. We investigate the relations between sgcompact and C2spaces and the interrelations to hereditarily sgclosed sets. 1 ..."
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Cited by 6 (5 self)
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The aim of this paper is to continue the study of sgcompact spaces, a topological notion much stronger than hereditary compactness. We investigate the relations between sgcompact and C2spaces and the interrelations to hereditarily sgclosed sets. 1
THE COINITIALITY OF A COMPACT SPACE
"... Abstract. This article deals with the coinitiality of topological spaces, a concept that generalizes the cofinality of a Boolean algebra as introduced by Koppelberg [7]. The compact spaces of countable coinitiality are characterized. This gives a new characterization of Boolean algebras of countable ..."
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Abstract. This article deals with the coinitiality of topological spaces, a concept that generalizes the cofinality of a Boolean algebra as introduced by Koppelberg [7]. The compact spaces of countable coinitiality are characterized. This gives a new characterization of Boolean algebras
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