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15
Math.TechQA.Club
2026-03-29 18:33:05
473
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Why is $H_c^0(X; G) = 0$ for an arbitrary path-connected and noncompact space $X$?
Published on
29 Mar 2026 - 18:33
#algebraic-topology
#homology-cohomology
56
Views
Natural numbers $n$ for which $\pi_n(G)=0$ for all Lie groups
Published on
26 Mar 2026 - 12:40
#algebraic-topology
#lie-groups
#homotopy-theory
128
Views
General conditions for the Fixed point property on the Quotient topology
Published on
24 Mar 2026 - 23:46
#general-topology
#algebraic-topology
#fixed-point-theorems
#quotient-spaces
#research
169
Views
Let $p: E\rightarrow B$ and $p':E' \rightarrow B$ covering map, E and E' path-connected and locally path-connected, isomorphismus between E and E'
Published on
25 Mar 2026 - 9:35
#geometry
#algebraic-topology
#homotopy-theory
#covering-spaces
#fundamental-groups
52
Views
topology of $S^{2}$-bundle with a section
Published on
02 May 2018 - 14:27
#algebraic-topology
1.6k
Views
Can I comb unoriented hair on a ball?
Published on
25 Mar 2026 - 6:10
#algebraic-topology
#manifolds
#vector-fields
#line-bundles
140
Views
Show that any map $f: S^{a + b} \to S^a \times S^b$ induces a zero map on the homology $H_{a + b}$
Published on
02 May 2018 - 17:28
#algebraic-topology
115
Views
Rotman's Introduction to Algebraic Topology Question 1.5
Published on
02 May 2018 - 19:40
#algebraic-topology
948
Views
If $p:E\to B$ is a covering map, then for each $b\in B$ the subspace $p^{-1}(b)$ of $E$ has the discrete topology
Published on
25 Mar 2026 - 13:34
#algebraic-topology
#proof-explanation
#intuition
713
Views
Universal Covering of $S^1 \vee S^1 \vee S^2$
Published on
03 May 2018 - 1:03
#algebraic-topology
41
Views
$\pi_1$ representation and de Rham
Published on
25 Mar 2026 - 1:25
#algebraic-topology
#topological-groups
115
Views
Why is the full subcategory of flabby sheaves $f_*$-injective?
Published on
25 Mar 2026 - 11:14
#algebraic-topology
#homological-algebra
#sheaf-theory
101
Views
Homology of Generalized Hyperbola
Published on
29 Mar 2026 - 18:32
#algebraic-topology
#homology-cohomology
#homological-algebra
413
Views
Unknotting number conjecture
Published on
25 Mar 2026 - 3:24
#algebraic-topology
#differential-topology
#knot-theory
#knot-invariants
193
Views
Each slice is mapped homeomorphically onto a space by the covering map $p$
Published on
30 Mar 2026 - 1:33
#general-topology
#algebraic-topology
#proof-explanation
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