Colloquia — Fall 2015
Friday, August 28, 2015
Inversible fibrations, globalization and triviality of maps
Dyer and Eilenberg (1988) in “Globalizing Fibrations by 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 talk, 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.