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Results tagged with gt.geometric-topology
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user 4008
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
7
votes
Is the composition of two bundle projections necessarily a bundle projection?
I think that the following works: Let $X\to Y$ and $Y\to Z$ be locally trivial
fibrations with all spaces paracompact and $Z$ locally contractible (I do not assume that a
fibration implies that all fi …
- 22.6k
5
votes
Accepted
composition of covering map and bundle projection
It is better to just assume that $f$ is a covering space. By shrinking $Z$ we may assume that that $Z$ is a ball and that $Y=Z\times F$. As $X\to Y$ is a covering space and $Z$ is simply-connected the …
- 35.9k
22
votes
"Largest" finite-dimensional Lie subgroups of Diff(S^n), are they known?
For 2) I think the following is an answer: Suppose $K$ is a compact Lie subgroup
of $\mathrm{Diff}(S^n)$ of dimension $\geq{n+1\choose 2}$. Being compact it is
the group of isometries of some Riemanni …
- 22.6k