Question

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

score 67 · Answer 1 · 2026-03-25 12:33:18

67

Views

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

Published on 25 Mar 2026 - 12:33

score 69 · Answer 2 · 2026-03-25 14:12:11

69

Views

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

Published on 25 Mar 2026 - 14:12

score 72 · Answer 3 · 2026-05-10 16:33:36

72

Views

Under what conditions can one deloop the free loop fibration?

Published on 10 May 2026 - 16:33

score 109 · Answer 4 · 2026-04-10 22:14:46

109

Views

A small question about fiber bundle

Published on 10 Apr 2026 - 22:14

score 22 · Answer 5 · 2026-03-25 14:25:21

22

Views

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

Published on 25 Mar 2026 - 14:25

score 290 · Answer 6 · 2026-03-25 12:33:03

290

Views

Pullback against a fibration invariant under homotopic maps

Published on 25 Mar 2026 - 12:33

score 302 · Answer 7 · 2026-03-25 12:37:34

302

Views

What does "generic fibre" mean in elliptic fibrations?

Published on 25 Mar 2026 - 12:37

score 155 · Answer 8 · 2026-03-25 12:35:06

155

Views

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

Published on 25 Mar 2026 - 12:35

score 660 · Answer 9 · 2026-05-10 16:34:56

660

Views

What is the fiber of the path space fibration?

Published on 10 May 2026 - 16:34

score 39 · Answer 10 · 2026-03-25 14:25:21

39

Views

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

Published on 25 Mar 2026 - 14:25

score 171 · Answer 11 · 2026-03-25 12:30:30

171

Views

Spectral sequence with field coefficients

Published on 25 Mar 2026 - 12:30

score 175 · Answer 12 · 2026-04-29 12:52:04

175

Views

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

Published on 29 Apr 2026 - 12:52

score 92 · Answer 13 · 2026-03-25 12:31:57

92

Views

Pullback of cartesian fibration preserves cartesian morphisms?

Published on 25 Mar 2026 - 12:31

score 114 · Answer 14 · 2026-03-25 12:29:22

114

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 25 Mar 2026 - 12:29

score 307 · Answer 15 · 2026-04-09 08:09:49

307

Views

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

Published on 09 Apr 2026 - 8:09

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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