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Results tagged with gt.geometric-topology
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user 66130
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).
6
votes
2
answers
443
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Is every $S^3$ block bundle over $S^4$ a fiber bundle?
I am interested in the difference between block bundle and fiber bundle.
Let $K$ be a simplicial complex and $p: E\to |K|$ be a continuous map.
A block diffeomorphism of $\Delta^p\times M$ is a diff …
- 73
1
vote
Is every $S^3$ block bundle over $S^4$ a fiber bundle?
I checked some more reference and come up with the following idea,this is too long for a comment,so i present it as an "answer":
(as is pointed out,there is a mistake in my original argument,where i …
- 73
0
votes
1
answer
198
views
Ambient isotopy of the diagonal submanifold in product space
Given a closed manifold $M^n$ and its $k$-fold product space $M^n\times\cdots\times M^n$,Can the diagonal submanifold $\Delta:=\{(m,\cdots,m)\in (M^n)^k\mid m\in M\}$ be isotopied to the submanifold
$ …
- 73