Pullback (cohomology)
id:
pullback-cohomology-307-15219136
title:
Pullback (cohomology)
text:
In algebraic topology, given a continuous map f: X → Y of topological spaces and a ring R, the pullback along f on cohomology theory is a grade-preserving R-algebra homomorphism: from the cohomology ring of Y with coefficients in R to that of X. The use of the superscript is meant to indicate its contravariant nature: it reverses the direction of the map. For example, if X, Y are manifolds, R the field of real numbers, and the cohomology is de Rham cohomology, then the pullback is induced by the
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Pullback_(cohomology)
date created:
date modified:
2017-06-10T23:44:23Z
main entity:
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13
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