suspension isomorphism
Proposition 1.
Let be a topological space. There is a natural isomorphism
where stands for the unreduced suspension of
A similar proposition holds with homology replaced by cohomology.
In fact, these propositions follow from the Eilenberg-Steenrod axioms without the dimension axiom, so they hold for any generalized (co)homology theory in place of integral (co)homology.
Title | suspension isomorphism |
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Canonical name | SuspensionIsomorphism |
Date of creation | 2013-03-22 13:25:58 |
Last modified on | 2013-03-22 13:25:58 |
Owner | antonio (1116) |
Last modified by | antonio (1116) |
Numerical id | 4 |
Author | antonio (1116) |
Entry type | Theorem |
Classification | msc 55N99 |
Related topic | Suspension |