List questions from homotopy-extension-property

Published on 23 Feb 2026 - 6:38

91

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When does a homotopy exist?

Published on 06 Apr 2026 - 3:55

93

Views

Question on equivalent ways of describing homotopy extension property.

Published on 23 Feb 2026 - 6:38

218

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Homotopy extension property of pushout.

Published on 23 Feb 2026 - 6:38

298

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Non-example of a homotopy extension property.

Published on 23 Feb 2026 - 6:42

336

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Homotopy extension property of the mapping cylinder.

Published on 23 Feb 2026 - 6:39

208

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Induced homotopy extension property for adjunction spaces.

Published on 23 Feb 2026 - 6:36

92

Views

Does the pair $(CX, X)$ have HEP?

Published on 23 Feb 2026 - 6:35

70

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Does the pair $(S^n, \{p_1,p_2, \cdots, p_k\})$ have HEP?

Published on 23 Feb 2026 - 6:37

108

Views

Showing that the natural map $X_0\cup_f X_1\to X_0\cup_F (X_1\times I)$ is a topological embedding

Published on 23 Feb 2026 - 6:41

104

Views

Does $(D^n,\mathring{D^n)}$ have the homotopy extension property?

Published on 23 Feb 2026 - 6:37

72

Views

Fibres of a Hurewicz fibration are homotopic equivalent

Published on 23 Feb 2026 - 6:40

99

Views

If $(W;\omega)$ is a well-pointed space that weakly contracts onto $\omega$, does it strongly contract onto $\omega$?

Published on 23 Feb 2026 - 6:40

List Question

Lifting property of Serre fibration that is weak equivalence

When does a homotopy exist?

Question on equivalent ways of describing homotopy extension property.

Homotopy extension property of pushout.

Non-example of a homotopy extension property.

Homotopy extension property of the mapping cylinder.

Induced homotopy extension property for adjunction spaces.

Does the pair $(CX, X)$ have HEP?

Does the pair $(S^n, \{p_1,p_2, \cdots, p_k\})$ have HEP?

Showing that the natural map $X_0\cup_f X_1\to X_0\cup_F (X_1\times I)$ is a topological embedding

Does $(D^n,\mathring{D^n)}$ have the homotopy extension property?

Fibres of a Hurewicz fibration are homotopic equivalent

If $(W;\omega)$ is a well-pointed space that weakly contracts onto $\omega$, does it strongly contract onto $\omega$?

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