Roots of mappings from manifolds.
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Fixed Point Theory and Applications [electronic only]
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Brooks, Robin (2004)
Fixed Point Theory and Applications [electronic only]
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We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locally path-connected spaces. Regular Peano covering maps over path-connected spaces are shown to be identical with generalized regular covering maps introduced by Fischer and...
Alberto Cavicchioli, Luigi Grasselli (1985)
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CONTENTS1. Introduction and preliminaries..........................................52. Initial results.....................................................................73. H-Connected spaces......................................................114. Induced decompositions.................................................185. "Regular" decompositions...............................................256. An application and a generalization................................297. Locally separating...