Wednesday, March 02 | |
Geometry and Combinatorics
Time: 16:00
Speaker: Sergio Chaves (Western) Title: "The Borel construction (Part 2)" Room: TC 342 Abstract: Let X be a topological space with an action of a topological group G. We want to relate to X an algebraic object that reflects both the topology and the action of the group. The first candidate is the cohomology ring H∗(X/G): however, if the action is not free, the space X/G may have some pathology. The Borel construction allows to replace X by a topological space X′ which is homotopically equivalent to X′ and the action of G on X′ is free. | |
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