Equiconnected spaces and Baire classification of separately continuous functions and their analogs
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Abstract 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.
- Chernivtsi National University Ukraine
equiconnected space, General Topology (math.GN), function of the α-th baire class, 54e20, Stratifiable spaces, cosmic spaces, etc., 54C08, 54C05, 54E20 54C08, 54C05, 54E20 54C08, 54C05, 54E20, baire-one function, Baire classification of functions, 54c08, 54c05, QA1-939, FOS: Mathematics, Weak and generalized continuity, Continuous maps, separately continuous function, Mathematics, Mathematics - General Topology
equiconnected space, General Topology (math.GN), function of the α-th baire class, 54e20, Stratifiable spaces, cosmic spaces, etc., 54C08, 54C05, 54E20 54C08, 54C05, 54E20 54C08, 54C05, 54E20, baire-one function, Baire classification of functions, 54c08, 54c05, QA1-939, FOS: Mathematics, Weak and generalized continuity, Continuous maps, separately continuous function, Mathematics, Mathematics - General Topology
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