Trivial bundles of spaces of probability measures and countable-dimensionality

• Autorzy: Valentin G. Gutev
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

countable-dimensional space; open mapping; set-valued mapping; selection; t(A)-approximate section

Kategorie tematyczne

• 55R10: Fiber bundles
• 54E45: Compact (locally compact) metric spaces
• 54C60: Set-valued maps
• 60B05: Probability measures on topological spaces
• 46E27: Spaces of measures
• 54C65: Selections
• 54F45: Dimension theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 114
• Numer: 1
• Strony: 1-11

Daty

wydano

1995

otrzymano

1992-10-05

poprawiono

1995-01-30

Twórcy

autor

Valentin G. Gutev

• Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., Bl. 8, 1113 Sofia, Bulgaria

Bibliografia

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