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Results tagged with gt.geometric-topology
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user 7311
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).
2
votes
Does a *topological* manifold have an exhaustion by compact submanifolds with boundary?
Doesn't this depend on the definition of "manifold". If the only condition is being locally Euclidean, then there are connected non second countable examples (e.g., the "long line") for which the answ …
- 15.3k
10
votes
Accepted
local structure of free $\mathbb{R}$ actions
Such a theorem is proved for completely regular spaces $X$ in my article:
On the Existence of Slices for Actions of Non-Compact Lie Groups, Richard S. Palais, The Annals of Mathematics, Second Series …
- 15.3k
7
votes
Geometry and Integrability in Other Bundles
Note that for the tangent bundle you do NOT need a connection to define the exterior derivative on the dual bundle---the cotangent bundle. If you follow your prescription in the case that $E$ is the t …
- 15.3k