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Show that a CW-complex is contractible without Whitehead theorem

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#algebraic-topology #homotopy-theory #cw-complexes
1.4k
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Homology and cohomology of compact vs non compact spaces

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#general-topology #algebraic-topology #compactness #homology-cohomology #homotopy-theory
1.4k
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Finite and finite-dimensional CW complex

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#general-topology #algebraic-topology #homotopy-theory #cw-complexes
193
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compactly supported cohomology ring of punctured complex projective spaces.

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#homology-cohomology #homotopy-theory #rational-homotopy-theory
286
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Intuitive understanding of homotopy of continuous maps

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#algebraic-topology #soft-question #homotopy-theory
2k
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Details for calculating the fundamental group of mapping torus

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#general-topology #reference-request #algebraic-topology #homotopy-theory #fundamental-groups
100
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Continuity of a homotopy on infinite simplicial complex

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#general-topology #algebraic-topology #continuity #homotopy-theory #simplicial-complex
175
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Products of well-pointed spaces

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#algebraic-topology #homotopy-theory
297
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$M$ oriented surface, diffeomorphism $f:M \to M$ is $C^2$-homotopic to the identity, $f$ preserves orientation

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#real-analysis #integration #differential-geometry #homotopy-theory #surfaces
220
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$G$-bundle Homotopy equivalence

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#algebraic-topology #homotopy-theory #fiber-bundles #equivariant-maps
164
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Is the Hurewicz isomorphism the identity for $K(G,n)$?

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#algebraic-topology #homology-cohomology #homotopy-theory #eilenberg-maclane-spaces
173
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Maps homotopic between convex subspace of $\mathbb{R}^n$ and topological space.

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#homotopy-theory
112
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Fibration with fibre $\mathbb{C}P^\infty$

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#algebraic-topology #homotopy-theory #fibration #eilenberg-maclane-spaces
401
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Direct computation of $\pi_n(S^n)$

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#algebraic-topology #homotopy-theory
86
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Face maps assume certain forms for $n$-simplex and simplicial identities.

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#algebraic-topology #homotopy-theory

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