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Curves on surfaces lifting to embedded curves in finite covers

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#algebraic-topology #surfaces #geometric-topology #covering-spaces
122
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When a subspace of a space is totally disconnected

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#general-topology #proof-verification #connectedness #geometric-topology
572
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Use Van Kampen theorem to find the fundamental group

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#algebraic-topology #geometric-topology
345
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Do contractible homology manifolds have one end?

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#algebraic-topology #geometric-topology
39
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Is there any method to embed $K_p$ into a orientable surface?

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#graph-theory #geometric-topology #low-dimensional-topology
95
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Proof regarding n-connectedness

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#general-topology #proof-verification #geometric-topology
685
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How to prove that $R^n\setminus \{0\}$ is not contractible

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#general-topology #proof-verification #geometric-topology
42
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Proof regarding the genus of a topological space

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#proof-verification #geometric-topology
1.2k
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Formal definition of euclidean space

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#metric-spaces #definition #geometric-topology
32
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Proving an "inevitable intersection"

Published on
#geometric-topology
306
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Characterization of $\mathbb{R}^n$?

Published on
#manifolds #differential-topology #smooth-manifolds #geometric-topology
55
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Are regular graphs always regular in a topological sense in a particular dimension?

Published on
#geometry #graph-theory #geometric-topology #computational-geometry
217
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Orientation preserving homeomorphism on a torus

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#proof-verification #geometric-topology
82
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Path components of $\mathbb{Z}/2\mathbb{Z}$-actions on a manifold

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#general-topology #differential-geometry #manifolds #differential-topology #geometric-topology
1.1k
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How can a torus be turned to a cylinder if the circumference of the outer ring is larger?

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#geometry #geometric-topology

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