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Verifying that a space is a (strong) deformation retract of another space

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#algebraic-topology
34
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weakly equivalent mapping cones

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#differential-geometry #algebraic-topology #vector-bundles
2.8k
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CW complex for Möbius strip

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#algebraic-topology #cw-complexes #mobius-band
1.4k
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Why is $H^*(\mathbb{CP}^\infty, \mathbb{Z})$ not $\mathbb{Z}[[x]]$?

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#algebraic-topology #homology-cohomology #topological-k-theory
42
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Terminology on comparison of homotopy types

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#algebraic-topology #terminology #homotopy-theory
1k
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How are topological invariants obtained from TQFTs used in practice?

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#algebraic-topology #differential-topology #mathematical-physics #quantum-field-theory #topological-quantum-field-theory
119
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question about a notation in Atiyah's book K-Theory

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#algebraic-topology #topological-k-theory
88
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I have a curve but I dont know how find it genus.

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#algebraic-geometry #algebraic-topology #finite-fields
101
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Regarding the chain complexes of semisimplicial sets

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#algebraic-topology #homological-algebra #simplicial-complex
94
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property of vector bundles in thom spaces

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#differential-geometry #algebraic-topology #vector-bundles #topological-k-theory
314
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Suppose that $q: X\to Z$ and that $p: X\to Y$ are covering spaces. Suppose there is a continuous function $r: Y\to Z$ such that $r\circ p=q$.

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#general-topology #proof-verification #algebraic-topology
330
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The étale topos of a scheme is the classifying topos of...?

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#algebraic-geometry #algebraic-topology #topos-theory #groupoids
398
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Expression of unitary group , the discrete subgroups and invariants

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#abstract-algebra #algebraic-topology #finite-groups #lie-groups #lie-algebras
1.8k
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Compact subset of CW complex

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#algebraic-topology #cw-complexes
168
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Continuous map from $\text{Spec}(R/I)$ to $\text{Spec}(R)$ induced by the canonical projection homomorphism

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#abstract-algebra #algebraic-geometry #ring-theory #algebraic-topology #ideals

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