Criteria for components of a function space to be homotopy equivalent

Abstract

Abstract We give a general method that may be effectively applied to the question of whether two components of a function space map( X , Y ) have the same homotopy type. We describe certain group-like actions on map( X , Y ). Our basic results assert that if maps f , g : X → Y are in the same orbit under such an action, then the components of map( X , Y ) that contain f and g have the same homotopy type.

Locations

• Mathematical Proceedings of the Cambridge Philosophical Society - View
• arXiv (Cornell University) - View - PDF