Concerning Inversible Fibrations, Globalization and Triviality of Maps

Nigar Tuncer Ozarslan
Tuesday, July 23, 2013 - from 16:30 to 16:55
Dyer and Eilenberg (1988) in ``Globalizing Fibrations with schedules'' defined inversible fibration and prove a globalization theorem for these kind of fibrations, then they asked whether a locally trivial maps over contractible space is trivial. In this paper we provide some further details concerning inversible fibrations and we define also inversible Hurewicz Fibrations, relate these to the inversible fibrations of Dyer and Eilenberg and study inversibility for path space fibrations. An affirmative answer to a special case of the Dyer and Eilenberg question is given.