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When a covariant functor could take an initial object to an initial object?

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#algebraic-topology #category-theory
322
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Fixed point problem dealing with a trivial homomorphism between fundamental groups

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#general-topology #algebraic-topology
1.2k
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Understanding the $\operatorname{link}$ of a simplex $\sigma$

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#algebraic-topology #simplicial-complex
423
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Algebraic Topology: all covers of $S^1$

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#algebraic-topology #covering-spaces
93
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Fake torus triangulation in Munkres

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#algebraic-topology #triangulation
115
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Odd cohomology of fibre bundles

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#algebraic-topology #homology-cohomology #fiber-bundles
52
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Projective space and sections inducing the same homology morphisms

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#algebraic-topology #homology-cohomology #projective-space #fiber-bundles #poincare-duality
203
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Suppose Inclusion is a homotopy equivalence

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#algebraic-topology #homology-cohomology
1k
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Euler characteristic as alternating sum of cohomology

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#algebraic-topology #homology-cohomology
1.4k
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Calculating Betti numbers of torus

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#algebraic-topology #betti-numbers
257
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In which sense is a universal covering the largest covering?

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#algebraic-topology
757
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Discrete simplicial set, definition

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#algebraic-topology #terminology #homotopy-theory #simplicial-stuff
140
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Does a manifold with zero simplicial volume necessarily admit a map $f$ with $|\deg f| > 1$?

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#algebraic-topology #manifolds #geometric-topology
144
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$\pi_n(S^n \vee S^n)$ what am I doing wrong?

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#algebraic-topology #higher-homotopy-groups
1.2k
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Map homotopic to constant induces the zero homomorphism

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#algebraic-topology #homology-cohomology

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