On the classification of F-fibrations

✍ Scribed by Claudio Pacati; Petar Pavešić; Renzo Piccinini

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 993 KB
• Volume: 87
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00171-5

✦ Synopsis

We begin this paper by studying the construction of principal fibrations associated to _73ibrations (that is to say, fibrations whose fibres are objects of a fixed category _?). 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 3-tibrations. The paper is developed entirely within the framework of the category of k-spaces.