Equiconnected spaces and Baire classification of separately continuous functions and their analogs

• Autorzy: Olena Karlova , Volodymyr Maslyuchenko , Volodymyr Mykhaylyuk
• Języki publikacji: EN

Abstrakty

EN

We investigate the Baire classification of mappings f: X × Y → Z, where X belongs to a wide class of spaces which includes all metrizable spaces, Y is a topological space, Z is an equiconnected space, which are continuous in the first variable. We show that for a dense set in X these mappings are functions of a Baire class α in the second variable.

Słowa kluczowe

EN

Baire-one function; Function of the α-th Baire class; Separately continuous function; Equiconnected space

Kategorie tematyczne

• 54E20: Stratifiable spaces, cosmic spaces, etc.
• 54C05: Continuous maps
• 54C08: Weak and generalized continuity

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 1042-1053

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Olena Karlova

• Chernivtsi National University

autor

Volodymyr Maslyuchenko

• Chernivtsi National University

autor

Volodymyr Mykhaylyuk

• Chernivtsi National University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0016-8