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Relative cohomology versus cohomology.

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#algebraic-topology
80
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How to show that $f_* (\sigma)=\sigma$ where $f$ is mapping between projective spaces $\mathbb{R}\text{P}^3$

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#algebraic-topology #homology-cohomology #projective-space
125
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Composition of simplicial approximation is again simplicial approximation

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#algebraic-topology
1k
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Mathematical background for TQFT

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#reference-request #algebraic-topology #mathematical-physics #homotopy-theory #quantum-field-theory
546
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Is there an isomorphism $\mathrm{Hom}(H_1(X),G)\simeq\mathrm{Hom}(\pi_1(X),G)$ when $X$ is path connected?

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#algebraic-topology
77
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Fixed point equivalence

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#algebraic-topology #fundamental-groups
220
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Why is $H^2(\mathbb{R}P^2,\mathbb{Z})\simeq\mathbb{Z}_2$?

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#algebraic-topology #homology-cohomology
815
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Degree of an induced map on $\mathbb{CP}^n$

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#algebraic-topology #homology-cohomology
56
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Is $H^0(S^0;G)\simeq G\oplus G$ or $G$?

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#algebraic-topology #homology-cohomology
78
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Why notion of fundamental group is defined only over a connected scheme?

Published on
#algebraic-geometry #algebraic-topology
1.6k
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Suspension of a CW complex

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#algebraic-topology #cw-complexes
346
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Expressing homotopy groups of spaces of (unpointed) maps $S^1\to M$ in terms of homotopy groups of spaces of pointed maps.

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#algebraic-topology #homotopy-theory
84
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Coboundary map problem

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#algebraic-topology
99
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$\tilde{H}_i(S^n-X)$, $X$ a Finite Graph

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#algebraic-topology
136
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How to describe a homomorphism from a fundamental group to a finite group?

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#algebraic-geometry #algebraic-topology #fundamental-groups

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