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Characterizing the Homotopy of Path-Connected Space

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#general-topology #algebraic-topology #homotopy-theory #geometric-topology
113
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Could you recommend me any solved problem book about algebraic topology?

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#reference-request #algebraic-topology #homotopy-theory #book-recommendation
46
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3-Sphere Minus 1-Skeleton

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#algebraic-topology #homotopy-theory #cw-complexes
94
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Prove that $M - \partial M \simeq M$.

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#general-topology #manifolds #homotopy-theory #manifolds-with-boundary
464
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Is Mayer-Vietoris sequences a sheaf theoretic result?

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#algebraic-topology #homology-cohomology #homological-algebra #homotopy-theory #sheaf-theory
64
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Is $\mathcal{C} \times J_{m}$ a cylinder object in ${\bf Cat}$?

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#category-theory #homotopy-theory #model-categories
532
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Example of non homotopic maps

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#algebraic-topology #homotopy-theory
340
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Higher (chain) homotopies

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#algebraic-topology #homological-algebra #homotopy-theory #higher-category-theory #operads
72
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Algebraic topology by Rotman exercise 1.3

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#algebraic-topology #homotopy-theory
55
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Can we say that this loop is not homologous to zero?

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#algebraic-topology #homology-cohomology #homotopy-theory #surfaces #curves
106
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Does every path in $SO(2k)$ from $1$ to $-1$ pass through the space of complex structures?

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#algebraic-topology #differential-topology #homotopy-theory #complex-geometry
109
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A different perspective of sphere eversion?

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#differential-geometry #homotopy-theory #vector-fields #spheres
87
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Why Whitehead product is trivial iff map of wedge extends to map of product?

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#algebraic-topology #homotopy-theory
108
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Fibration and a morphism which is homotopic to a fiber bundle

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#algebraic-geometry #algebraic-topology #homotopy-theory #complex-geometry
157
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Fundamental Group functor has no left Adjoint

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#algebraic-topology #homotopy-theory #limits-colimits

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