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Conditions for validity of interior test

Published on
#geometry #geometric-topology
141
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Mathematics of Handcuff Puzzle

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#puzzle #geometric-topology
761
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Can every open subset of a smooth manifold be the support of a chart of the manifold?

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#differential-geometry #smooth-manifolds #geometric-topology
484
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Mapping class group of a torus

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#algebraic-topology #geometric-topology #mapping-class-group
142
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Irreducible $3$-manifolds with boundary

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#smooth-manifolds #geometric-topology #low-dimensional-topology
61
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$\bf{S^3}$ as 2 point compactification of $\bf{S^2} \times \bf{R}$

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#general-topology #manifolds #geometric-topology
89
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Pullback bundle of bundle from real projective space to complex projective space

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology
280
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The proof of the quotient space of a manifold with properly discontinuous action is an orbifold.

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#smooth-manifolds #geometric-topology #quotient-spaces #low-dimensional-topology #orbifolds
364
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Show that $X$ can be pulled apart from Z by an arbitrary small deformation

Published on
#manifolds #differential-topology #smooth-manifolds #geometric-topology
78
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About cell complexes in Rourke and Sanderson

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#geometric-topology #cw-complexes
740
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Advice for studying the topology of manifolds?

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#reference-request #soft-question #manifolds #geometric-topology #advice
115
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Algebraically slice implies slice

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#geometric-topology #knot-theory #knot-invariants
138
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$\mathbb{S^2}$ as a quotient of $\mathbb{R^2}$.

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#general-topology #manifolds #geometric-topology
1.2k
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Is the set of symmetric positive semi-definite matrices a smooth manifold with boundary

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#matrices #differential-geometry #manifolds #geometric-topology #manifolds-with-boundary
184
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What is the maximum number of vertices a simplex in $\mathbb{R}^n$ can have?

Published on
#geometry #differential-geometry #geometric-topology

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