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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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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
More on sgcompact spaces
, 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. ..."
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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.
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 7 (1 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
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
MEASURES ON THE PRODUCT OF COMPACT SPACES
"... Abstract. If K is an uncountable metrizable compact space, we prove a “factorization ” result for a wide variety of vector valued Borel measures µ defined onKn. This result essentially says that for every such measure µ there exists a measure µ ′ defined on K such that the measure µ of a product A1 ..."
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Abstract. If K is an uncountable metrizable compact space, we prove a “factorization ” result for a wide variety of vector valued Borel measures µ defined onKn. This result essentially says that for every such measure µ there exists a measure µ ′ defined on K such that the measure µ of a product A1
PRODUCTS OF COUNTABLY COMPACT SPACES
"... In this paper, we give various conditions under which a product of countab1y compact spaces is countab1y compact. In particular, we investigate the question: Does there exist a family of countab1y compact.'spaces (Xi: i E I) such that i) I I I = 2c, ii) IT X. 1 is not countab1y compact, and iEI ..."
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In this paper, we give various conditions under which a product of countab1y compact spaces is countab1y compact. In particular, we investigate the question: Does there exist a family of countab1y compact.'spaces (Xi: i E I) such that i) I I I = 2c, ii) IT X. 1 is not countab1y compact, and i
Results 1  10
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