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15
487
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TDA and knot theory

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#algebraic-topology #knot-theory #data-analysis #topological-data-analysis
206
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A question regarding cohomology

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#algebraic-geometry #algebraic-topology #homology-cohomology
464
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How does one conclude for $S^n\to RP^n$ covering, $0\to H_n(P^n)\to H_n(S^n)\to H_n(P^n)\to\dots$'s morphisms?

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#general-topology #algebraic-topology
72
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Classification and Parametrization in Algebraic Geometry and Algebraic Topology - Book recommendation

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#algebraic-geometry #algebraic-topology #book-recommendation #classifying-spaces
75
Views

Is this proof that $M$ is orientable correct?

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#proof-verification #algebraic-topology #manifolds #compact-manifolds
453
Views

Formula for (total) chern classes in presence of a exact sequence with finite number of terms

Published on
#algebraic-geometry #reference-request #algebraic-topology #vector-bundles #characteristic-classes
124
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Question about the definition of homotopy equivalence

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#algebraic-topology #homotopy-theory
205
Views

Computing the degree of specific maps on spheres

Published on
#algebraic-topology
197
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Closed orientable 4-manifolds with $H_2(M)\cong \mathbb{Z}$ do not admit free actions of $\mathbb{Z}/2$

Published on
#geometry #algebraic-topology #4-manifolds #poincare-duality
252
Views

the structure of persistence modules

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#algebraic-topology #topological-data-analysis
218
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A problem in Wedge product of topological spaces

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#algebraic-topology #homotopy-theory
248
Views

Knots on $\mathbb{R}P^2$ and on n-half-twist Möbius strips

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#algebraic-topology #knot-theory #mobius-band
70
Views

A problem in Algebraic Topology

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#algebraic-topology #homology-cohomology #homotopy-theory
327
Views

Obtaining mapping cone complex from $f:X\to Y$

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#abstract-algebra #general-topology #algebraic-topology
108
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Total dimension of mod $5$ homology for $3$-manifold obtained by gluing two solid tori along boundary.

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#algebraic-topology #manifolds #geometric-topology

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