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Results tagged with transformation-groups
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user 39799
0
votes
1
answer
127
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free action on product of two spaces [closed]
Let $G$ be a compact Lie group acting freely on $X\times Y$ , product of two Hausdorff spaces. Is is true that $G$ must act freely on one of the factor spaces ($X$ or $Y$). For example the group $\mat …
- 119
1
vote
0
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Gysin sequence for $\mathbb S^3$ bundle
Let the group $G=\mathbb S^3$ act semi freely on a paracompact space $X$. Then exercise 12 of G.E. Breadon's book , Introduction to compact transformation groups pg 169 asks to derive the following ex …
- 119
1
vote
0
answers
134
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free action on mod p cohomology sphere
It is well known that the group $G=\mathbb Z_2\oplus\mathbb Z_2$ cannot act freely on mod 2 cohomology n-sphere.
Is it also true that this group $G$ cannot act freely on any mod p cohomology n-spher …
- 119