Geodesic
The Poset of Perfect Irreducible Images of a Space
Canadian journal of mathematics, Tome 41 (1989) no. 2, pp. 213-233

Voir la notice de l'article provenant de la source Cambridge University Press

We begin by briefly summarizing the contents of this paper; details, and some definitions of terminology, appear in subsequent sections. All hypothesized topological spaces are assumed to be Hausdorff. The reader is referred to [13] for undefined notation and terminology.A perfect irreducible continuous surjection is called a covering map. Let Xbe a space, let f and g be two such functions with domain X,and let Rf denote the range of (i.e., the set f [Z]). Then f and g are said to be equivalent (denoted f≈ g) if there is a homeomorphism h : Rf —” Rg such that h of = g. We identify equivalent covering maps with domain X, and then denote by IP(X)the set of such covering maps. 
Porter, Jack R.; Woods, R. Grant. The Poset of Perfect Irreducible Images of a Space. Canadian journal of mathematics, Tome 41 (1989) no. 2, pp. 213-233. doi: 10.4153/CJM-1989-011-7
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