We begin this paper by studying the construction of principal fibrations associated to F-fibrations (that is to say, fibrations whose fibres are objects of a fixed category F). We prove that under certain conditions we can even define an inverse construction (in the sense of May-Stasheff). Finally, with the aid of the Dold-Lashof-Fuchs classification theorem, we give a classification theorem for numerable F-fibrations. The paper is developed entirely within the framework of the category of k-spaces. (C) 1998 Elsevier Science B.V.
Pacati, C., Pavesic, P., Piccinini, R. (1998). On the classification of F-fibrations. TOPOLOGY AND ITS APPLICATIONS, 87(3), 213-227 [10.1016/S0166-8641(97)00171-5].
On the classification of F-fibrations
PACATI, CLAUDIO;
1998-01-01
Abstract
We begin this paper by studying the construction of principal fibrations associated to F-fibrations (that is to say, fibrations whose fibres are objects of a fixed category F). We prove that under certain conditions we can even define an inverse construction (in the sense of May-Stasheff). Finally, with the aid of the Dold-Lashof-Fuchs classification theorem, we give a classification theorem for numerable F-fibrations. The paper is developed entirely within the framework of the category of k-spaces. (C) 1998 Elsevier Science B.V.
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https://hdl.handle.net/11365/17716
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