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15
Math.TechQA.Club
2026-04-14 12:42:33
35
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Need a description of the map $i:\mathbb{C}P^2\vee\mathbb{C}P^2\rightarrow \mathbb{C}P^2\times \mathbb{C}P^2$ on $2$nd Cohomology level
Published on
14 Apr 2026 - 12:42
#algebraic-topology
#homology-cohomology
58
Views
A compact convex set $A$ is contained in $\mathbb{R}^n$ then for any section $x \rightarrow a_x$ there is a unique $a_A \rightarrow a_x$
Published on
09 Apr 2026 - 6:07
#algebraic-topology
#homology-cohomology
#poincare-duality
119
Views
Non orientable normal bundle gives a non simply connected manifold
Published on
12 Apr 2026 - 0:20
#algebraic-topology
#manifolds
#orientation
263
Views
If $p$ is a regular covering then so is $q$.
Published on
17 Apr 2026 - 2:19
#general-topology
#algebraic-topology
#covering-spaces
197
Views
For every group $G$ there is a semilocally simply-connected cell complex $X$ with $\pi_1(X)=G$
Published on
15 Apr 2026 - 0:51
#algebraic-topology
#cw-complexes
108
Views
Generator of Homology of $n$-ball relative to the $(n-1)$-sphere
Published on
17 Apr 2026 - 6:34
#algebraic-topology
507
Views
Homotopy Lifting Problem
Published on
10 Apr 2026 - 22:04
#general-topology
#complex-analysis
#analysis
#algebraic-topology
116
Views
Understanding theorem 15.12 in Kosniovski's A first course in algebraic topology
Published on
12 Apr 2026 - 17:44
#algebraic-topology
#fundamental-groups
71
Views
Express the quotient of $\mathbb{R}^2/\mathbb{Z}^2$ by the relation $(x,y) \equiv (-x,-y)$ as the quotient of a polygon
Published on
13 Apr 2026 - 16:51
#general-topology
#algebraic-topology
#fundamental-groups
#quotient-spaces
452
Views
How to show a space is not a covering space?
Published on
08 Apr 2026 - 18:32
#algebraic-topology
#covering-spaces
113
Views
Every map $\mathbb{RP}^4 \to S^3$ induces the zero map on $\pi_4(\mathbb{RP}^4)$
Published on
12 Apr 2026 - 9:59
#algebraic-topology
904
Views
A covering space in $\Bbb R^3$ exists iff there is an embedding $M_g$ of the 3-torus which induces a surjection
Published on
15 Apr 2026 - 7:02
#algebraic-topology
#covering-spaces
45
Views
$h_*:S_*(X\times Y)\to S_*(X\times Y)$ a homomorphism of natural chain complexes. If $h_0=Id$, show that $h_*$ is homotopic to $Id$
Published on
15 Apr 2026 - 13:58
#general-topology
#algebraic-topology
#homology-cohomology
#homological-algebra
#homotopy-theory
556
Views
Visualizing a covering space of a torus
Published on
10 Apr 2026 - 15:44
#algebraic-topology
#covering-spaces
68
Views
Equivalence of cross product?
Published on
16 Apr 2026 - 18:52
#algebraic-topology
#cross-product
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