Remarks concerning the invariance of Baire spaces under mappings
Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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Zdeněk Frolík (1961)
Czechoslovak Mathematical Journal
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Zbigniew Piotrowski (1981)
Colloquium Mathematicae
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R. C. Haworth, R. A McCoy
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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................
Jerzy Kakol, Walter Roelcke (1992)
Collectanea Mathematica
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The aim of the present paper is to study the class of tvs which we define by ommiting the word increasing in the definition of *-suprabarrelled spaces. We prove that the product of Baire tvs is *-UBL and hence the class of *-UBL spaces is stricty larger than the class of Baire spaces.
Jerzy Kąkol (1986)
Mathematica Slovaca
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Tibor Neubrunn (1977)
Mathematica Slovaca
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W. Fleissner, K. Kunen (1978)
Fundamenta Mathematicae
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E. Torrance (1938)
Fundamenta Mathematicae
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Choban, Mitrofan (1998)
Serdica Mathematical Journal
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Let a compact Hausdorff space X contain a non-empty perfect subset. If α < β and β is a countable ordinal, then the Banach space Bα (X) of all bounded real-valued functions of Baire class α on X is a proper subspace of the Banach space Bβ (X). In this paper it is shown that: 1. Bα (X) has a representation as C(bα X), where bα X is a compactification of the space P X – the underlying set of X in the Baire topology generated by the Gδ -sets in X. 2. If 1 ≤ α < β ≤ Ω, where...