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face map $d_i^n:\Delta^{n-1}\to\Delta^n$

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#functions #algebraic-topology #solution-verification #function-and-relation-composition #simplex
494
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Is this a triangulation for the 2-torus?

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#algebraic-topology #triangulation #simplicial-complex
46
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Does the number of deck transformations is always less or equal to the number of fiber's elements for a finite fiber? $\Delta \le |p^{-1}(y)|$

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#algebraic-topology
75
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Which topological property am I looking for?

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#algebraic-topology #semialgebraic-geometry
98
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Is collapsing a contractible closed subspace a homotopy equivalence?

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#general-topology #algebraic-topology #homotopy-theory
161
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Why is $R[\alpha]/2\alpha^2$ a free graded commutative algebra?

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#abstract-algebra #polynomials #ring-theory #algebraic-topology #commutative-algebra
320
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What's the ring structure of $H^*(C_2,\mathbb{Z})$ with a nontrivial group action?

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#abstract-algebra #algebraic-topology #homology-cohomology #homological-algebra #group-cohomology
260
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Sign convention for compatibility of cap and cross products

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#algebraic-topology
89
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Every cell complex is homotopy equivalent to a CW complex

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#algebraic-topology #cw-complexes
54
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$(X \wedge K)/(A \wedge K)= (X/A) \wedge K$

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#algebraic-topology #cw-complexes
74
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Confusion about a non-trivial 1-cocycle on the circle.

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#algebraic-topology
79
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Brieskorn 4-manifold

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#algebraic-topology #manifolds #smooth-manifolds #low-dimensional-topology
1.3k
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The universal cover covers any connected cover

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#general-topology #algebraic-topology #covering-spaces
270
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What are classifying spaces of algebraic categories like?

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#abstract-algebra #algebraic-geometry #algebraic-topology #category-theory #simplicial-stuff
269
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Weak homotopy equivalence between $\Omega \underset{\rightarrow}{\lim} \ Z_n$ and $\underset{\rightarrow}{\lim} \ \Omega Z_n$

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#algebraic-topology #homotopy-theory #cw-complexes #higher-homotopy-groups

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