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The product of a Baire space with a hereditarily Baire metric space is Baire
"... B. Moors1 Abstract. In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and ..."
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B. Moors1 Abstract. In this paper we prove that the product of a Baire space with a metrizable hereditarily Baire space is again a Baire space. This answers a recent question of J. Chaber and
RICH FAMILIES, WSPACES AND THE PRODUCT OF BAIRE SPACES
"... Abstract. In this paper we prove a theorem more general than the following. Suppose that X is a Baire space and Y is the product of hereditarily Baire metric spaces then X × Y is a Baire space. ..."
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Abstract. In this paper we prove a theorem more general than the following. Suppose that X is a Baire space and Y is the product of hereditarily Baire metric spaces then X × Y is a Baire space.
On hereditarily locally connected spaces
 Houston J. Math
"... ABSTRACT: Compact hereditarily locally connected (hlc) metric spaces have been studied extensively by many authors (see Whyburn [16] and Kuratowski [7]). This paper is concerned with noncompact, separable, metric hlc spaces. Several properties of topological spaces are known to characterize hlc cont ..."
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Cited by 4 (4 self)
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ABSTRACT: Compact hereditarily locally connected (hlc) metric spaces have been studied extensively by many authors (see Whyburn [16] and Kuratowski [7]). This paper is concerned with noncompact, separable, metric hlc spaces. Several properties of topological spaces are known to characterize hlc
Baire and Volterra Spaces
, 1998
"... In this paper we describe broad classes of spaces for which the Baire space property is equivalent to the assertion that any two dense Gsets have dense intersection. We also provide examples of spaces where the equivalence does not hold. Finally, our techniques provide an easy proof of a new inte ..."
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Cited by 5 (0 self)
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In this paper we describe broad classes of spaces for which the Baire space property is equivalent to the assertion that any two dense Gsets have dense intersection. We also provide examples of spaces where the equivalence does not hold. Finally, our techniques provide an easy proof of a new
SELECTION PRINCIPLES AND BAIRE SPACES
, 2007
"... We prove that if X is a separable metric space with the Hurewicz covering property, then the BanachMazur game played on X is determined. The implication is not true when “Hurewicz covering property” is replaced with “Menger covering property”. ..."
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We prove that if X is a separable metric space with the Hurewicz covering property, then the BanachMazur game played on X is determined. The implication is not true when “Hurewicz covering property” is replaced with “Menger covering property”.
THE GEOMETRY OF BAIRE SPACES
, 2008
"... We introduce the concept of Baire embeddings and we classify them up to C 1+ε conjugacies. We show that two such embeddings are C 1+εequivalent if and only if they have exponentially equivalent geometries. Next, we introduce the class of IFSlike Baire embeddings and we also show that two Hölder eq ..."
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equivalent IFSlike Baire embeddings are C 1+ε conjugate if and only if their scaling functions are the same. In the remaining sections we introduce metric scaling functions and we show that the logarithm of such a metric scaling function and the logarithm of Sullivan’s scaling function multiplied
TOPOLOGICAL RAMSEY SPACES AND METRICALLY BAIRE SETS
"... We characterize a class of topological Ramsey spaces such that each element R of the class induces a collection {Rk}k<ω of projected spaces which have the property that every Baire set is Ramsey. Every projected space Rk is a subspace of the corresponding space of lengthk approximation sequenc ..."
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We characterize a class of topological Ramsey spaces such that each element R of the class induces a collection {Rk}k<ω of projected spaces which have the property that every Baire set is Ramsey. Every projected space Rk is a subspace of the corresponding space of lengthk approximation
On hereditary Baireness of the Vietoris topology
 Topology Appl
, 2001
"... Abstract. It is shown that a metrizable space X, with completely metrizable separable closed subspaces, has a hereditarily Baire hyperspace K(X) of nonempty compact subsets ofX endowed with the Vietoris topology τv. In particular, making use of a construction of Saint Raymond, we show in ZFC that ..."
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Cited by 1 (0 self)
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Abstract. It is shown that a metrizable space X, with completely metrizable separable closed subspaces, has a hereditarily Baire hyperspace K(X) of nonempty compact subsets ofX endowed with the Vietoris topology τv. In particular, making use of a construction of Saint Raymond, we show in ZFC
Functions of the first Baire class
 J. London Math. Soc
, 1988
"... Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansell has claimed that, i f / is adiscrete and Y has the extension property for X, then / is necessarily of the first Baire class; but his proof is incomplete. It is shown that the result is true if Y al ..."
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Cited by 2 (0 self)
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Let /be a function of the first Borel class mapping the metric space X to the metric space Y: Hansell has claimed that, i f / is adiscrete and Y has the extension property for X, then / is necessarily of the first Baire class; but his proof is incomplete. It is shown that the result is true if Y
Results 1  10
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142