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Cohomology of quadric in $\mathbb{C}^4$ at infinity

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#algebraic-geometry #algebraic-topology #homology-cohomology
254
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Singular homology of disjoint union of discs quotient boundaries

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#algebraic-topology
130
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Poisson integral on $\mathbb{D}$ is surjective

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#complex-analysis #algebraic-topology #harmonic-functions
1k
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Jordan-Brouwer separation theorem for topological manifolds: is it simple to prove the existance of the notion of "inside"?

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#general-topology #differential-geometry #algebraic-topology #differential-topology
91
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universal covering group construction

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#differential-geometry #algebraic-topology #lie-groups
65
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concerning about homology of a graph

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#algebraic-topology #homology-cohomology
376
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Nullhomotopic loop in a topological space $X$ lifts to a loop in a covering space $\widetilde{X}$.

Published on
#algebraic-topology
1.4k
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Is the set of non invertible matrices simply connected? What are their homotopy and homology groups?

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#linear-algebra #algebraic-topology
701
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How can I visualise the fundamental group of the projective plane?

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#general-topology #algebraic-topology #fundamental-groups
955
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Bijective correspondence between covering space and subgroup of $\pi_1$

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#analysis #algebraic-topology #covering-spaces
426
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Chern classes, classification of bundles, and Bockstein morphism

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#algebraic-topology #smooth-manifolds #vector-bundles #characteristic-classes #tangent-bundle
48
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An example of a space built of two vertices and two edges which is homeomorphic to the simplicial circle but not a simplicial complex.

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#algebraic-topology
280
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Pictorial proof of Poincare-Hopf theorem

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#differential-geometry #algebraic-topology #differential-topology
442
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Intuition behind the injectivity part of Hurewicz Theorem

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#algebraic-topology #soft-question #homology-cohomology #homotopy-theory #cw-complexes
349
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Existence of degree of smooth map between manifold and sphere

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#geometry #algebraic-topology #differential-topology #smooth-manifolds

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