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What is the formula for the Wu class $v_6$ in terms of Stiefel-Whitney classes?

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#algebraic-topology #characteristic-classes
160
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Segre Map induces Cohomology Morphisms

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#general-topology #algebraic-topology #homology-cohomology
542
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Product structure in Cohomology Spectral sequence

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#algebraic-topology #homology-cohomology #spectral-sequences
887
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Does there exist a continuous bijection from real line onto the unit circle?

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#general-topology #algebraic-topology #metric-spaces #continuity #compactification
262
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Operations on pullbacks of vector bundles.

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#general-topology #algebraic-topology #tensor-products #topological-k-theory
33
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Question in the appendixes A of O'Neill book 2

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#algebraic-topology #riemannian-geometry #homotopy-theory #covering-spaces
1.7k
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$X$ is contractible if and only if there exists a deformation retract to a point

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#algebraic-topology
195
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The space obtained by attaching a subspace of a topological space to itself.

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#general-topology #algebraic-topology #cw-complexes
541
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Homotopy groups of double comb space

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#algebraic-topology #homotopy-theory
96
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$\mathbf{B}A$ as a 2-group in a long fiber sequence

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#algebraic-topology #category-theory #higher-category-theory #classifying-spaces #higher-homotopy-groups
1.5k
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$X$ is simply connected iff every continuous $f:S^1 \rightarrow X$ has a continuous extension to the unit disc?

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#algebraic-topology
558
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Computation of the fundamental group of the projective plane without Van Kampen theorem.

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#algebraic-topology #fundamental-groups
123
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How to compute $ H^{\bullet} (\mathbb{P}^n (\mathbb{R}), \mathbb{Q}) $, using Mayer Vietoris sequence?

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#algebraic-topology #homology-cohomology #projective-space
339
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Homotopy type of a disk and homotopy type of a sphere.

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#algebraic-topology #homology-cohomology #homotopy-theory #projective-space
219
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The Whitehead product and $\pi_{\leq 3} S^2$

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#algebraic-topology #category-theory #homotopy-theory #higher-category-theory #groupoids

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