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Upper Bounds on Higher Limits (
| Content Provider | Semantic Scholar |
|---|---|
| Author | Oliver, Bob |
| Copyright Year | 1997 |
| Abstract | Lemma 2. Let V be an elementary abelian 2-group, and let X⊇Y be a pair of V -complexes such that X = Y V . Let x1, . . . , xs∈V ∗ r 0 be any set of elements such that every isotropy subgroup of XrY is contained in Ker(xi) for some i. Set n = dim(X). Then for every α∈H∗ V (Y ), x1 · · ·xsα∈ Im[H∗ V (X) −→ H∗ V (Y )]. Proof. For each i = 0, . . . , n, set Xi = X (i)∪Y . Then H∗ V (X0) surjects onto H∗ V (Y ) (projection onto a direct summand). And for all i ≥ 0, x1 · ··xr·H∗ V (Xi+1,Xi) = 0. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://hopf.math.purdue.edu/Oliver/limbound.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
