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15
164
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Tucker's lemma, Borsuk-Ulam, triangulating a ball in *truly* antipodally symmetric fashion

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#general-topology #combinatorial-geometry #discrete-geometry #simplicial-complex
30
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Composed relations and simplicial complexes?

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#algebraic-topology #relations #simplicial-complex
280
Views

Classify surface given by $abca^{-1}b^{-1}c^{-1}$

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#surfaces #geometric-topology #simplicial-complex #compact-manifolds
48
Views

Constructing connected complexes with prescribed homology groups

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#algebraic-topology #homology-cohomology #simplicial-complex
397
Views

Why if $n$ is odd the simplicial homology is $\mathbb Z,$ while if $n$ is even it is $0$?

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#algebraic-topology #homology-cohomology #simplicial-complex
83
Views

What is a flat Kan fibration?

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#differential-geometry #algebraic-topology #differential-topology #simplicial-stuff #simplicial-complex
263
Views

When does a map between abstract simplicial complexes induce a homotopy equivalence on their geometric realisations?

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#graph-theory #algebraic-topology #homotopy-theory #simplicial-stuff #simplicial-complex
152
Views

Geometric Realization of Standard Combinatorial $n$-Simplex is Standard Topological $n$-Simplex

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#algebraic-topology #simplex #simplicial-complex #geometric-realization
326
Views

What is the homology of the 1, 2 and 3 simplex?

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra #simplicial-complex
129
Views

Every compact subset can intersect only finitely many simplices

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#compactness #homology-cohomology #simplex #simplicial-complex
71
Views

How to show the exactness of the simplicial complex of free abelian groups generated by configurations of a finite set?

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#combinatorics #algebraic-topology #abelian-groups #simplicial-stuff #simplicial-complex
30
Views

Binomial coefficient identities from h-vector of a simplicity complex.

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#binomial-coefficients #simplicial-complex #algebraic-combinatorics
637
Views

On simplicial complexes and their geometric realization

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#combinatorics #geometry #algebraic-topology #simplex #simplicial-complex
122
Views

Triangulation of 3-sphere and Hopf Fibration

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#algebraic-topology #simplicial-complex #triangulation #hopf-fibration
69
Views

Extending simplicial maps between filtrations to homology groups.

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#algebraic-topology #homological-algebra #simplicial-complex #topological-data-analysis

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