New posts in topological-groups

If $H$ and $G/H$ are compact, then $G$ is compact.

general-topology topological-groups

Generators of $GL_n(\Bbb Z)$ and $GL_n(\Bbb Z_p)$

group-theory topological-groups

Homeomorphism between Space and Product: $X \cong X \times X$

general-topology algebraic-topology examples-counterexamples topological-groups product-space

$(x,y)\to xy$ continuous but $x\to x^{-1}$ not

general-topology group-theory topological-groups

How many group structures make $S^1$ a topological group?

group-theory lie-groups topological-groups locally-compact-groups

Help understanding proof of every topological group is regular

proof-verification topological-groups separation-axioms

No non-trivial homomorphism to a group

group-theory topological-groups

The special orthogonal group is a manifold

general-topology manifolds lie-groups topological-groups

Compact subset of locally compact $\sigma$-compact

general-topology analysis topological-groups

Is there a topology such that $(\Bbb R, +, \mathcal T)$ is a compact Hausdorff topological group?

general-topology topological-groups

An equivalent definition of the profinite group

group-theory topological-groups

Finite Haar Measure if and only if Compact

topological-groups

Every Lindelöf topological group is isomorphic to a subgroup of the product of second countable topological groups.

topological-groups

Topological groups are completely regular

topological-groups separation-axioms uniform-spaces

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

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

Non-isomorphic Group Structures on a Topological Group

general-topology group-theory lie-groups topological-groups

Intersection of all neighborhoods of zero is a subgroup

topological-groups

Is $\operatorname{Homeo}([0,1])$ Weil-Complete?

general-topology topological-groups uniform-spaces

If Haar measure is $\sigma$-finite, is the underlying topological space $\sigma$-compact?

measure-theory topological-groups haar-measure

Topological groups, why need them?

general-topology algebraic-topology soft-question topological-groups motivation