Question

Show that the space $Y = S^3 \vee S^6$ has precisely two distinct homotopy classes of comultiplications.

score 168 · Answer 1 · 2026-03-25 04:41:43

168

Views

Show that the space $Y = S^3 \vee S^6$ has precisely two distinct homotopy classes of comultiplications.

Published on 25 Mar 2026 - 4:41

score 2.3k · Answer 2 · 2026-03-25 12:26:14

2.3k

Views

Show that the orthogonal group acts transitively on the sphere $S^n.$

Published on 25 Mar 2026 - 12:26

score 516 · Answer 3 · 2020-03-31 16:54:07

516

Views

What does Hatcher mean by "pullback fibration" of a characterstic map?

Published on 31 Mar 2020 - 16:54

score 123 · Answer 4 · 2026-03-25 11:14:58

123

Views

How can an inclusion of finite groups induce a fibration of classifying spaces?

Published on 25 Mar 2026 - 11:14

score 62 · Answer 5 · 2020-04-08 17:59:20

62

Views

Explicit expression for cohomology transgression

Published on 08 Apr 2020 - 17:59

score 56 · Answer 6 · 2026-02-23 04:47:12

56

Views

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

Published on 23 Feb 2026 - 4:47

score 71 · Answer 7 · 2026-03-25 04:39:23

71

Views

Fibrations are thought of as epimorphisms

Published on 25 Mar 2026 - 4:39

score 313 · Answer 8 · 2026-03-22 01:54:06

313

Views

Closed inclusion

Published on 22 Mar 2026 - 1:54

score 243 · Answer 9 · 2026-03-25 03:02:15

243

Views

Show that $S^2$ and $S^3 \times \mathbb CP^\infty$ have isomorphic homotopy groups.

Published on 25 Mar 2026 - 3:02

score 48 · Answer 10 · 2020-05-13 21:03:06

48

Views

For $p: (E, e_0) \to (B, b_0)$ a Hurewicz fibration, is the inclusion $p^{-1}(b_0) \to E$ a Hurewicz fibration as well?

Published on 13 May 2020 - 21:03

score 160 · Answer 11 · 2026-03-25 03:07:43

160

Views

Long exact sequence of the Klein bottle as a $S^1$-fiber bundle

Published on 25 Mar 2026 - 3:07

score 67 · Answer 12 · 2020-05-20 00:11:45

67

Views

Is there an isomorphism in long exact sequence of fibration, which arises from homotopy fiber construction?

Published on 20 May 2020 - 0:11

score 140 · Answer 13 · 2020-05-20 16:01:18

140

Views

Pulback of a map to a pushout / pullback of cells in a fibration

Published on 20 May 2020 - 16:01

score 211 · Answer 14 · 2026-03-25 03:18:17

211

Views

Fibration in integral manifolds

Published on 25 Mar 2026 - 3:18

score 92 · Answer 15 · 2020-07-12 04:04:20

92

Views

Self homeomorphism of the cube

Published on 12 Jul 2020 - 4:04

List Question

Show that the space $Y = S^3 \vee S^6$ has precisely two distinct homotopy classes of comultiplications.

Show that the orthogonal group acts transitively on the sphere $S^n.$

What does Hatcher mean by "pullback fibration" of a characterstic map?

How can an inclusion of finite groups induce a fibration of classifying spaces?

Explicit expression for cohomology transgression

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

Fibrations are thought of as epimorphisms

Closed inclusion

Show that $S^2$ and $S^3 \times \mathbb CP^\infty$ have isomorphic homotopy groups.

For $p: (E, e_0) \to (B, b_0)$ a Hurewicz fibration, is the inclusion $p^{-1}(b_0) \to E$ a Hurewicz fibration as well?

Long exact sequence of the Klein bottle as a $S^1$-fiber bundle

Is there an isomorphism in long exact sequence of fibration, which arises from homotopy fiber construction?

Pulback of a map to a pushout / pullback of cells in a fibration

Fibration in integral manifolds

Self homeomorphism of the cube

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