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A 3-manifold with fundamental group isomorphic to a surface group.

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#surfaces #geometric-topology #fundamental-groups #low-dimensional-topology
843
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Extending homeomorphism of unit circle to unit disk

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#general-topology #geometric-topology
155
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Rotation orientations in n-dimensions

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#geometric-topology #quaternions
537
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John Hempel's proof of residual finiteness of surface groups

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#algebraic-topology #manifolds #geometric-topology
502
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the knot surgery - from a $6^3_2$ knot to a $3_1$ trefoil knot

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#differential-topology #knot-theory #geometric-topology #knot-invariants #surgery-theory
1.2k
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Hausdorff distance and union of sets

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#analysis #metric-spaces #geometric-topology
145
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When $f\colon M\to N\times N$ satisfies that $f^{-1}(\Delta)$ is a ball?

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#differential-topology #geometric-topology #smooth-manifolds
464
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Projection onto a convex closed set

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#general-topology #operator-theory #convex-optimization #geometric-topology #locally-convex-spaces
51
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Are there closed manifolds that can be given multiple geometric structures of constant curvature

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#differential-geometry #geometric-topology
477
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Why is surgery along a framed link well defined?

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#manifolds #knot-theory #geometric-topology #low-dimensional-topology
3.1k
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Easier proof about suspension of a manifold

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#algebraic-topology #manifolds #homotopy-theory #geometric-topology
184
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Why are the total spaces of two Serre fibrations equivalent when the bases and the fibers are equivalent?

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#algebraic-topology #homotopy-theory #geometric-topology
410
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Actual Definition of the term: Hopf Band?

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#reference-request #knot-theory #geometric-topology
2.2k
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Homeomorphic or Homotopic

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#general-topology #algebraic-topology #differential-topology #homotopy-theory #geometric-topology
659
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Confusion about difference between homotopy, topology and isotopy

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#geometric-topology

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