New posts in fundamental-groups

Covering spaces of $S^1 \vee S^1$.

abstract-algebra general-topology algebraic-topology geometric-topology fundamental-groups

Does the fundamental group detect the unlink?

general-topology differential-topology geometric-topology fundamental-groups knot-theory

When van Kampen Fails

algebraic-topology fundamental-groups

Can the fundamental group and homology of the line with two origins be computed as a direct limit?

general-topology algebraic-topology quotient-spaces fundamental-groups limits-colimits

Why is the fundamental group of the projective plane $C_{2}$?

algebraic-topology intuition fundamental-groups projective-space

How do I compute the fundamental group of a disk?

algebraic-topology homotopy-theory fundamental-groups

Contractible spaces has trivial fundamental group.

algebraic-topology fundamental-groups

Compute the fundamental group of $\mathbb{R}^4\backslash \mathbb{R}^2$ [closed]

general-topology algebraic-topology fundamental-groups

Prove every map from the projective plane to the circle is nullhomotopic

algebraic-topology covering-spaces fundamental-groups

Fundamental group of punctured simply connected subset of $\mathbb{R}^2$

group-theory algebraic-topology fundamental-groups

Functoriality of fundamental group

algebraic-topology category-theory fundamental-groups

Proof of Borsuk-Ulam Theorem .

general-topology algebraic-topology fundamental-groups

Conjugacy classes in the fundamental group

algebraic-topology fundamental-groups

What categorical limits and colimits does $\pi_1$ preserve?

algebraic-topology category-theory fundamental-groups

Why is the fundamental group of the plane with two holes non-abelian?

algebraic-topology fundamental-groups

Same homology but different fundamental group

algebraic-topology manifolds examples-counterexamples homology-cohomology fundamental-groups

Is there a nontrivial topological group that's isomorphic to its fundamental group?

group-theory algebraic-topology topological-groups fundamental-groups

Homotopy equivalent spaces have homotopy equivalent universal covers

algebraic-topology covering-spaces fundamental-groups

intuition on the fundamental group of $S^1$

general-topology algebraic-topology fundamental-groups

Proving that the fundamental groups of two spaces with same homotopy type are isomorphic

algebraic-topology proof-explanation fundamental-groups