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Fundamental group of countably many holes and one limit point

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#group-theory #complex-analysis #algebraic-topology
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Prove that any two maps $S^m \to S^n$, where $m < n$, are homotopic

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#general-topology #algebraic-topology
180
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Abuse of notation in relative homology theory

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#algebraic-topology #homology-cohomology
350
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What is the definition of "Augmentation Ideal Filtration"?

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#abstract-algebra #reference-request #algebraic-topology #definition
206
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Loop of a topological group acting on different points being homotopic to constant maps.

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#algebraic-topology
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Question 13 in section 2.2 Hatcher Homology

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#algebraic-topology
171
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examples of k-invariants of spectra

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#reference-request #algebraic-topology #homology-cohomology
10.9k
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Fundamental group of surface of genus $g$

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#algebraic-topology #fundamental-groups
73
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Illustration of homotopies

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#algebraic-topology #homotopy-theory
240
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Reference request for equality of torsion of H1 and H2

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#algebraic-geometry #algebraic-topology #homological-algebra #surfaces #homology-cohomology
471
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Dependence of Euler characteristic on the coefficients

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#algebraic-topology #homological-algebra
1k
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Homotopic attaching maps give Homotopy Equivalent spaces

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#general-topology #algebraic-topology #homotopy-theory #cw-complexes
93
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Proving these spaces are homeomorphic

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#algebraic-topology
462
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Integrality of the $L$-genus for a smooth manifold

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#algebraic-topology #characteristic-classes
310
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Possible degree of a cover $p \colon S^{2n} \to X$

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#algebraic-topology #covering-spaces #spheres

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