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15
292
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Poincare duality in Bott Tu Differential Forms in Algebraic Topology

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#general-topology #geometry #differential-geometry #algebraic-topology
436
Views

Surjective homotopy equivalence which is not a fibration?

Published on
#algebraic-topology #homotopy-theory #fiber-bundles #fibration
767
Views

Homology group of $X=\operatorname{SL}(2,\mathbb{R})/\operatorname{SL}(2,\mathbb{Z})$

Published on
#abstract-algebra #group-theory #algebraic-topology #manifolds #homology-cohomology
189
Views

How can i prove that? Connected components and continuous function

Published on
#general-topology #algebraic-topology
255
Views

Lefschetz number of constant map

Published on
#algebraic-topology #differential-topology #fixed-point-theorems
116
Views

Is this a 'relative' colimit or some other categorical construction?

Published on
#algebraic-topology #category-theory #homotopy-theory #simplicial-stuff
86
Views

Coordinate independence of connections

Published on
#differential-geometry #algebraic-topology #connections
46
Views

Homotopy lifting property with respect to a space $X$

Published on
#algebraic-topology
698
Views

Homology of the $n$-sphere

Published on
#algebraic-topology #homology-cohomology
321
Views

Borel subgroup of $SL_2(\mathbb{Z})$

Published on
#matrices #reference-request #algebraic-topology #homology-cohomology #group-cohomology
111
Views

Show that a finite generated subgroup $H$ of $G$ with index 3 exists which is not normal in $G$.

Published on
#algebraic-topology #normal-subgroups #covering-spaces
665
Views

Existence of sphere maps of arbitrary degree

Published on
#algebraic-topology #homology-cohomology
410
Views

Construct homotopy from $(\alpha \cdot \beta) \cdot \gamma$ to $\alpha \cdot (\beta \cdot \gamma)$ explicitly

Published on
#general-topology #algebraic-topology
476
Views

Show $S^2$ with 2 cells attached is equivalent to a wedge of spheres

Published on
#algebraic-topology
549
Views

Free resolution for finitely generated module over integral group ring $ZG$

Published on
#abstract-algebra #general-topology #algebraic-topology #homological-algebra

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