Wyniki wyszukiwania

1

Trivial bundles of spaces of probability measures and countable-dimensionality

100%

Gutev V. G.

Studia Mathematica

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1995

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tom 114

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nr 1

1-11

EN

The probability measure functor P carries open continuous mappings $f: X onto → Y$ of compact metric spaces into Q-bundles provided Y is countable-dimensional and all fibers $f^{-1}(y)$ are infinite. This answers a question raised by V. Fedorchuk.

2

Classical-type characterizations of non-metrizable ANE(n)-spaces

63%

Gutev V. G., Valov V.

Fundamenta Mathematicae

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1994

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tom 145

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nr 3

243-259

EN

The Kuratowski-Dugundji theorem that a metrizable space is an absolute (neighborhood) extensor in dimension n iff it is $LC^{n-1} & C^{n-1}$ (resp., $LC^{n-1}$) is extended to a class of non-metrizable absolute (neighborhood) extensors in dimension n. On this base, several facts concerning metrizable extensors are established for non-metrizable ones.

3

Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?

63%

Gutev V. G., Ohta H.

Fundamenta Mathematicae

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2000

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tom 163

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nr 3

241-265

EN

The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.

Ograniczanie wyników

2 Fundamenta Mathematicae

1 Studia Mathematica

3 Gutev V. G.

1 Ohta H.

1 Valov V.

1 2000

1 1995

1 1994

Trivial bundles of spaces of probability measures and countable-dimensionality

Classical-type characterizations of non-metrizable ANE(n)-spaces

Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?