List questions from fundamental-groups | MathQa

Rank of fundamental groups of open subsets.

Published on 12 Jan 2025 - 23:55

$\beta_1 \gamma_1 {\beta_1}^{-1}{\gamma_1}^{-1}$ is not null-homotopic in the two-holed torus.

Published on 12 Jan 2025 - 9:00

How do you generalize "loops" from usual topology $I:[0,1] \to X$

Published on 12 Jan 2025 - 23:45

When $\pi_1(X)\neq 0$ and $H_1(X) = 0$

Published on 12 Jan 2025 - 18:33

Fundamental group of the complement of $3$ pairwise linked circles in $\mathbb R^{3}$

Published on 12 Jan 2025 - 9:00

Homomorphism as induced maps

Published on 12 Jan 2025 - 18:22

What are the conjugacy class and homotopy class of fundamental group in graph theory?

Published on 12 Jan 2025 - 9:00

Use Seifert–van Kampen to show $X \ast Y$ is simply connected if $X$ is path connected.

Published on 12 Jan 2025 - 9:00

Does having the same fundamental group imply that two spaces have the same homotopy type?

Published on 12 Jan 2025 - 9:00

Fundamental group of the n-fold torus is nonabelian for n > 1

Published on 12 Jan 2025 - 9:00