New posts in topological-groups

Isomorphism of the special orthogonal group

group-theory topological-groups

Can compacts on a real line behave "paradoxically" with respect to unions, intersections, and translation? What about other topological groups?

compactness topological-groups

Topology on the general linear group of a topological vector space

linear-algebra topological-vector-spaces topological-groups grassmannian

What's so cool about local compactness?

general-topology soft-question algebraic-number-theory examples-counterexamples topological-groups

Every Tychonoff space is an image of a Moscow space under a continuous open mapping.

general-topology topological-groups

Does the forgetful functor from $\mathbf{TopGrp}$ to $\mathbf{Top}$ admit a left adjoint?

general-topology category-theory topological-groups universal-property adjoint-functors

A proof for $\widehat{\Bbb Z_{p^\infty}}\cong Z_p$

group-theory reference-request topological-groups duality-theorems torsion-groups

Is addition continuous?

general-topology topological-groups

Clarification of notion of proper group action.

manifolds lie-groups topological-groups group-actions

Are different versions of homogenous equivalent?

general-topology topological-groups homogeneous-spaces

The group of invertible linear operators on a Banach space

functional-analysis banach-spaces topological-groups

Are $\Bbb R$ and $\Bbb C$ the only connected, locally compact fields?

general-topology field-theory topological-groups

If $H_1 \subset H_2 \subset G$ and $G/H_2,\ H_2/H_1$ are compact then $G/H_1$ is compact.

general-topology group-theory topological-groups

Is there a topological group that is connected but not path-connected?

abelian-groups topological-groups connectedness uniform-spaces

Can continuity of inverse be omitted from the definition of topological group?

topological-groups topological-vector-spaces

Every neighborhood of identity in a topological group contains the product of a symmetric neighborhood of identity.

general-topology topological-groups

Open subgroups of a topological group are closed

general-topology group-theory topological-groups

What is the induced map on group completions defined by coherence sequences?

commutative-algebra topological-groups

Can you give me an example of topological group which is not a Lie group.

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

The fundamental group of a topological group is abelian [duplicate]

algebraic-topology topological-groups fundamental-groups