Ordinal products of topological spaces

• Autorzy: Vitalij A. Chatyrko
• Języki publikacji: EN

Abstrakty

EN

The notion of the ordinal product of a transfinite sequence of topological spaces which is an extension of the finite product operation is introduced. The dimensions of finite and infinite ordinal products are estimated. In particular, the dimensions of ordinary products of Smirnov's [S] and Henderson's [He1] compacta are calculated.

Kategorie tematyczne

• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1994
• Tom: 144
• Numer: 2
• Strony: 95-117

Daty

wydano

1994

otrzymano

1992-05-19

poprawiono

1993-02-09

poprawiono

1993-05-20

Twórcy

autor

Vitalij A. Chatyrko

Bibliografia

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• [B2] P. Borst, Classification of weakly infinite-dimensional spaces. Part II: Essential mappings, ibid., 73-99.
• [B3] P. Borst, Some remarks concerning C-spaces, preprint.
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• [E2] R. Engelking, Dimension Theory, PWN, Warszawa 1978.
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• [H] F. Hausdorff, Set Theory, Chelsea, New York, 1962.
• [He1] D. W. Henderson, A lower bound for transfinite dimension, Fund. Math. 63 (1968), 167-173.
• [He2] D. W. Henderson, D-dimension I. A new transfinite dimension, Pacific J. Math. 26 (1968), 91-107.
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