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15
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What happens if we remove the point of origin from the moebius band?

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#general-topology #algebraic-topology #homology-cohomology #homological-algebra #homotopy-theory
31
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Construction of minimal Sullivan model

Published on
#homology-cohomology
539
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Is $H_n(X,A)$ naturally isomorphic to $\tilde{H}_n(X/A)$?

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#algebraic-topology #homology-cohomology #natural-transformations
46
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Is the following relation correct?

Published on
#homology-cohomology #tensor-products #torsion-groups
147
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Homology and cohomology of manifolds

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#algebraic-topology #manifolds #homology-cohomology #group-homomorphism #finitely-generated
2.4k
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Boundary operator: what does it mean?

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#homology-cohomology #simplex #simplicial-complex
535
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"Commutativity" of Tor functor

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#abstract-algebra #homology-cohomology #homological-algebra #derived-functors
204
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fundamental group of the union of two cylinders

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#algebraic-topology #homology-cohomology #fundamental-groups
130
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Why is $\mathbb Z$ a $\mathbb Z[\pi]-$module?

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#algebraic-topology #modules #homology-cohomology #fundamental-groups
327
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Does the cup product commute with Mayer-Vietoris connecting homomorphism?

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#algebraic-topology #homology-cohomology
252
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Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

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#proof-verification #algebraic-topology #homology-cohomology #geometric-topology #knot-theory
153
Views

Isomorphism between Dolbeault Cohomology groups

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#algebraic-geometry #homology-cohomology #complex-geometry #spectral-sequences
82
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Induced map between two product manifolds

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#differential-geometry #homology-cohomology #smooth-manifolds #differential-forms
233
Views

Why consider this homology relation on vector fields?

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#manifolds #homology-cohomology #vector-fields #spin-geometry
151
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Is the boundary map generated by zig-zag lemma a homomorphism between modules?

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#homology-cohomology #homological-algebra

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