Compact-covering-properties of finite-to-one mappings

DOI10.1016/S0166-8641(97)00021-7zbMath0883.54017MaRDI QIDQ1372691

Jean Saint Raymond, Gabriel Debs

Publication date: 5 March 1998

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

perfect mappingcountable-compact-covering mappinginductively perfect mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Special maps on metric spaces (54E40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (3)

Preservation of the Borel class under countable-compact-covering mappings ⋮ Countably open and closed functions ⋮ Open problems in topology.

Cites Work

• Complete spaces and tri-quotient maps
• Some conditions under which tri-quotient or compact-covering maps are inductively perfect
• Countable-compact-covering maps and compact-covering maps
• Compact covering and game determinacy
• Necessary and sufficient conditions for the measurability of certain sets of closed subsets
• Inductively Perfect Maps and Tri-Quotient Maps
• Some refinements of a selection theorem with O-dimensional domain
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