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Criteria for components of a function space to be homotopy equivalent
Published online by Cambridge University Press: 01 July 2008
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 95 - 106
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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