Question

17 definitions of algebraic K-theory of a ring. Which should I take?

score 777 · Answer 1 · 2026-03-25 06:06:43

777

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17 definitions of algebraic K-theory of a ring. Which should I take?

Published on 25 Mar 2026 - 6:06

score 55 · Answer 2 · 2026-04-10 19:12:43

55

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Showing that a piecewise homotopy is continuous

Published on 10 Apr 2026 - 19:12

score 39 · Answer 3 · 2026-04-12 00:55:10

39

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Reference request on functions defined on Cartesian products

Published on 12 Apr 2026 - 0:55

score 63 · Answer 4 · 2026-04-12 12:37:56

63

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Question about relation between Homotopy group, Homology group and Cohomology group

Published on 12 Apr 2026 - 12:37

score 92 · Answer 5 · 2026-04-14 12:43:47

Non-nullhomotopic map from $S^1$ to $\mathbb{R}^2$ without two points, but which becomes nullhomotopic when adding a point back to $\mathbb{R}^2$.

score 108 · Answer 6 · 2026-04-15 11:53:09

108

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Homotopy Lifting Property for the cube: tom Dieck, proposition 3.2.4.

Published on 15 Apr 2026 - 11:53

score 150 · Answer 7 · 2026-04-15 22:45:30

150

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Computation of the fundamental groupoid of the cicrle - tom Dieck, Algebraic Topology

Published on 15 Apr 2026 - 22:45

score 47 · Answer 8 · 2026-04-16 18:59:11

47

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$S^{n+m}\not\simeq S^n \times S^m$ from homology induced map of inclusions being injective

Published on 16 Apr 2026 - 18:59

score 59 · Answer 9 · 2026-04-14 12:18:21

59

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Proving that homotopy equivalent spaces are n-connected for the same n

Published on 14 Apr 2026 - 12:18

score 43 · Answer 10 · 2026-03-26 01:29:11

43

Views

Construction of a corner of a diagram out of the homotopy pushout

Published on 26 Mar 2026 - 1:29

score 100 · Answer 11 · 2026-04-15 03:59:01

100

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Why is the (reduced) suspension of a genus $g$ surface homotopy equivalent to $(\vee_{2g}S^2)\vee S^3$?

Published on 15 Apr 2026 - 3:59

score 58 · Answer 12 · 2026-04-10 16:43:33

58

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Homotopy Theory: Contractible Spaces

Published on 10 Apr 2026 - 16:43

score 57 · Answer 13 · 2026-04-09 10:05:42

57

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Is it ever useful to consider cofibrations which satisfy the HEP only with respect to a proper subclass of spaces?

Published on 09 Apr 2026 - 10:05

score 258 · Answer 14 · 2026-04-10 12:13:38

258

Views

Contractible Space: Example

Published on 10 Apr 2026 - 12:13

score 88 · Answer 15 · 2026-03-25 19:01:33

88

Views

Visualizing $|\mathcal{B}\mathbb{Z}| \simeq S^1$.

Published on 25 Mar 2026 - 19:01

List Question

17 definitions of algebraic K-theory of a ring. Which should I take?

Showing that a piecewise homotopy is continuous

Reference request on functions defined on Cartesian products

Question about relation between Homotopy group, Homology group and Cohomology group

Non-nullhomotopic map from $S^1$ to $\mathbb{R}^2$ without two points, but which becomes nullhomotopic when adding a point back to $\mathbb{R}^2$.

Homotopy Lifting Property for the cube: tom Dieck, proposition 3.2.4.

Computation of the fundamental groupoid of the cicrle - tom Dieck, Algebraic Topology

$S^{n+m}\not\simeq S^n \times S^m$ from homology induced map of inclusions being injective

Proving that homotopy equivalent spaces are n-connected for the same n

Construction of a corner of a diagram out of the homotopy pushout

Why is the (reduced) suspension of a genus $g$ surface homotopy equivalent to $(\vee_{2g}S^2)\vee S^3$?

Homotopy Theory: Contractible Spaces

Is it ever useful to consider cofibrations which satisfy the HEP only with respect to a proper subclass of spaces?

Contractible Space: Example

Visualizing $|\mathcal{B}\mathbb{Z}| \simeq S^1$.

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