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New posts in homology-cohomology
Euler characteristic of a manifold is odd
algebraic-topology
homology-cohomology
manifolds-with-boundary
compact-manifolds
Long exact sequence for cohomology with compact supports
reference-request
algebraic-topology
homology-cohomology
Morphism induced by a cellular map between CW-complexes
general-topology
algebraic-topology
homology-cohomology
cw-complexes
Principal Bundle and Cocycle
differential-geometry
category-theory
homology-cohomology
principal-bundles
$i: (D^n,S^{n-1}) \mapsto (D^n,D^n\setminus \{0\})$ is not a homotopy equivalence of pairs
general-topology
algebraic-topology
homology-cohomology
$S^n$ is not homotopy equivalent to any subspace $\mathbb{R}^n$ [duplicate]
algebraic-topology
homology-cohomology
homotopy-theory
Can (singular) homology classes always be represented by images of closed manifolds?
algebraic-topology
manifolds
homology-cohomology
Finitely generated singular homology
algebraic-topology
manifolds
homology-cohomology
compact-manifolds
Cohomology of Product of Spheres
differential-geometry
algebraic-topology
homology-cohomology
Homology of the Empty set
algebraic-topology
homology-cohomology
Cohomology ring of a product
algebraic-topology
homology-cohomology
Splitting is not natural in UCT
algebraic-topology
homology-cohomology
Verify that $\langle\alpha \cup \beta, u\rangle = \langle\beta, \alpha \cap u\rangle.$
algebraic-topology
homology-cohomology
homological-algebra
exterior-algebra
k-theory
Question on relative homology
algebraic-topology
homology-cohomology
What tells rational cohomology about integral cohomology?
algebraic-topology
homology-cohomology
Excision in the stable homotopy category
algebraic-topology
homology-cohomology
stable-homotopy-theory
spectra
Is there a non-simply-connected space with trivial first homology group?
algebraic-topology
homology-cohomology
Map on homology induced by covering map $S^n \to \mathbb{R}P^n$
algebraic-topology
homology-cohomology
covering-spaces
cw-complexes
What are interesting examples of still uncomputed cohomology rings?
algebraic-topology
soft-question
homology-cohomology
Cohomology of Real Projective Space
algebraic-topology
homology-cohomology
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