Fibrations and coset spaces for locally compact groups

Linus Kramer; Raquel Murat Garc\'ia

REVIEW

Fibrations and coset spaces for locally compact groups

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2408.03843 v2 pith:YFCEBVH4 submitted 2024-08-07 math.GR math.ATmath.GN

Fibrations and coset spaces for locally compact groups

Linus Kramer , Raquel Murat Garc\'ia This is my paper

classification math.GR math.ATmath.GN

keywords compactgrouplocallysubseteqapplicationclosedcosetfibration

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

Let $G$ be a topological group and let $K,L\subseteq G$ be closed subgroups, with $K\subseteq L$. We prove that if $L$ is a locally compact pro-Lie group, then the map $q:G/K\to G/L$ is a fibration. As an application of this, we obtain two older results by Skljarenko, Madison and Mostert.

Fibrations and coset spaces for locally compact groups

discussion (0)