Coverings of mapping spaces

Micheal Neal Dyer and Allan John Sieradski

Vol. 31 (1969), No. 2, 325–336

DOI: 10.2140/pjm.1969.31.325

Abstract

The purpose of this paper is to give conditions on a pair of topological spaces (X,B) such that any covering ρ : E → B induces a covering map

where ρ(f) = ρ^of and the mapping spaces have the compactopen topology.

Mathematical Subject Classification

Primary: 55.50

Milestones

Received: 14 January 1969

Published: 1 November 1969