Glasnik Matematicki, Vol. 46, No. 2 (2011), 513-519.

A NOTE ON TRIVIAL FIBRATIONS

Petar Pavešić

Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1111 Ljubljana
e-mail: petar.pavesic@fmf.uni-lj.si

Abstract.   We study the conditions on spaces B and F given which, every fibration with base B or with fibre F is fibre-homotopy trivial. In particular, we prove that every fibration whose base is a CW-complex and fibre an Eilenberg-MacLane space K(G,1) with G a complete group is fibre-homotopy trivial.

2000 Mathematics Subject Classification.   55R35.

Key words and phrases.   Fibration, fibre-homotopy equivalence, complete group.

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DOI: 10.3336/gm.46.2.19

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