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Degree of Map between Spheres

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#general-topology #algebraic-topology
253
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Künneth theorem for compactly supported cohomology of manifold.

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#algebraic-topology #manifolds #homology-cohomology
300
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The power and the use of homotopy pullback?

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#algebraic-topology #homotopy-theory #fiber-bundles #pullback
198
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Serre spectral sequence of $\mathbb{Z}_2\rightarrow E\mathbb{Z}_2\rightarrow B\mathbb{Z}_2=\mathbb{R}P^\infty$

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#algebraic-topology #homological-algebra #spectral-sequences #classifying-spaces
75
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Homotopy groups of a projective bundle

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#algebraic-topology #vector-bundles
201
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$A\times Y$ deformation retract of $X\times Y$ if and only if $A$ deformation retract of $X$?

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#algebraic-topology #retraction
291
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Injection on homology dual to surjection on cohomology?

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#algebraic-topology #homology-cohomology
179
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Homology of Hirzebruch surfaces

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#algebraic-geometry #algebraic-topology #vector-bundles
202
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Naturality of Suspension

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#general-topology #algebraic-topology
105
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Understanding the cohomology class associated to some closed submanifold

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#algebraic-geometry #algebraic-topology
93
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About boundary components of a compact surface

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#algebraic-topology #differential-topology
127
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Exercise 10. Groups and Covering spaces. Lima

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#general-topology #algebraic-topology #homotopy-theory #mobius-band
3.4k
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Lens space and its generalization, homotopy/homology groups

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#algebraic-topology #manifolds #homology-cohomology #homotopy-theory
2.1k
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Geometric intuition for torsion in $H_{2}$ of non-orientable $3$-manifold

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#general-topology #algebraic-topology #visualization #compact-manifolds
306
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The homology class associated to a hypersurface?

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#algebraic-geometry #algebraic-topology #homology-cohomology

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