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The functoriality of the cellular homology

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#algebraic-topology
52
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underlying fiber sequence of top. groups

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#general-topology #reference-request #algebraic-topology #topological-groups
218
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Fundamental group of $\mathbb{C^*}/G$

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#general-topology #algebraic-topology #fundamental-groups
979
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A question about a contractible manifold

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#differential-geometry #algebraic-topology #differential-topology
34
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homotopy set of maps between CW pairs

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#algebraic-topology
548
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Is it true that if inclusion of a boundary component is a homotopy equivalence then the manifold deformation retracts onto it?

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#general-topology #geometry #differential-geometry #algebraic-topology
1.1k
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What is the difference between "Product" and "Twisted product"?

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#differential-geometry #algebraic-topology #tensor-products #products
202
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Fundamental group of $\mathbb{R}P^2$ in 2 models

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#algebraic-topology #projective-space #fundamental-groups
1.6k
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Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

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#general-topology #algebraic-topology #differential-topology #homotopy-theory #retraction
157
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Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

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#algebraic-topology #differential-topology #homology-cohomology #low-dimensional-topology #poincare-duality
119
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homology of a subspaces of product of circles.

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#algebraic-topology #manifolds #homology-cohomology
102
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Simply Connected Open Manifold being Contained in Simply Connected Closed Manifold

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#algebraic-topology #geometric-topology
337
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$X \rtimes Y \simeq X \vee (X \wedge Y)$ for $X$ a Co-H-Space?

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#general-topology #algebraic-topology #homotopy-theory
84
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Showing $χ$ for a three manifold?

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#general-topology #algebraic-topology #homotopy-theory #topological-groups #geometric-topology
714
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$n$-gons gluing diagram/proof?

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#general-topology #geometry #algebraic-topology #topological-groups #geometric-topology

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