Question

Show that a path $\beta: I \rightarrow B $ lifts to a path $\bar{\beta}: I \rightarrow E .$

score 66 · Answer 1 · 2019-12-11 03:56:10

66

Views

Show that a path $\beta: I \rightarrow B $ lifts to a path $\bar{\beta}: I \rightarrow E .$

Published on 11 Dec 2019 - 3:56

score 68 · Answer 2 · 2019-12-30 13:13:57

68

Views

Horizontal forms on principal $\mathbb{S}^1-$bundle

Published on 30 Dec 2019 - 13:13

score 70 · Answer 3 · 2020-01-04 17:03:28

70

Views

Under what conditions can one deloop the free loop fibration?

Published on 04 Jan 2020 - 17:03

score 107 · Answer 4 · 2020-01-05 09:12:39

107

Views

A small question about fiber bundle

Published on 05 Jan 2020 - 9:12

score 21 · Answer 5 · 2020-01-05 17:51:13

21

Views

Differential geometry: vector bundle cover of base that consist of charts that are also trvialising neighbourhoods

Published on 05 Jan 2020 - 17:51

score 289 · Answer 6 · 2020-01-17 01:55:22

289

Views

Pullback against a fibration invariant under homotopic maps

Published on 17 Jan 2020 - 1:55

score 301 · Answer 7 · 2020-01-20 18:39:48

301

Views

What does "generic fibre" mean in elliptic fibrations?

Published on 20 Jan 2020 - 18:39

score 154 · Answer 8 · 2020-01-20 22:14:06

154

Views

How can the monodromy of an elliptic fibration have 0's on its diagonal?

Published on 20 Jan 2020 - 22:14

score 658 · Answer 9 · 2020-01-26 16:09:27

658

Views

What is the fiber of the path space fibration?

Published on 26 Jan 2020 - 16:09

score 38 · Answer 10 · 2020-02-16 22:53:59

38

Views

Do locally trivial and smooth fibrations correspond to subbundles of the tangent bundle

Published on 16 Feb 2020 - 22:53

score 170 · Answer 11 · 2020-02-25 17:50:16

170

Views

Spectral sequence with field coefficients

Published on 25 Feb 2020 - 17:50

score 172 · Answer 12 · 2026-02-23 02:58:32

172

Views

Show that either $X$ or $Z$ is homotopy equivalent to a point.

Published on 23 Feb 2026 - 2:58

score 91 · Answer 13 · 2020-03-11 02:34:28

91

Views

Pullback of cartesian fibration preserves cartesian morphisms?

Published on 11 Mar 2020 - 2:34

score 113 · Answer 14 · 2020-03-20 03:28:28

113

Views

Show that $\pi_{i}(F) \cong \pi_{i +1}(X) $ where $F$ is the homotopy fiber of the inclusion $X \rightarrow X \times X.$

Published on 20 Mar 2020 - 3:28

score 306 · Answer 15 · 2026-02-23 03:01:17

306

Views

(c) Calculate the homotopy fibre of the inclusion $i_{X} : X \vee X \rightarrow X \times X. $

Published on 23 Feb 2026 - 3:01

List Question

Show that a path $\beta: I \rightarrow B $ lifts to a path $\bar{\beta}: I \rightarrow E .$

Horizontal forms on principal $\mathbb{S}^1-$bundle

Under what conditions can one deloop the free loop fibration?

A small question about fiber bundle

Differential geometry: vector bundle cover of base that consist of charts that are also trvialising neighbourhoods

Pullback against a fibration invariant under homotopic maps

What does "generic fibre" mean in elliptic fibrations?

How can the monodromy of an elliptic fibration have 0's on its diagonal?

What is the fiber of the path space fibration?

Do locally trivial and smooth fibrations correspond to subbundles of the tangent bundle

Spectral sequence with field coefficients

Show that either $X$ or $Z$ is homotopy equivalent to a point.

Pullback of cartesian fibration preserves cartesian morphisms?

Show that $\pi_{i}(F) \cong \pi_{i +1}(X) $ where $F$ is the homotopy fiber of the inclusion $X \rightarrow X \times X.$

(c) Calculate the homotopy fibre of the inclusion $i_{X} : X \vee X \rightarrow X \times X. $

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