Souslin measurable homomorphisms of topological groups (Q1203565)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Souslin measurable homomorphisms of topological groups |
scientific article; zbMATH DE number 119860
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Souslin measurable homomorphisms of topological groups |
scientific article; zbMATH DE number 119860 |
Statements
Souslin measurable homomorphisms of topological groups (English)
0 references
10 February 1993
0 references
We prove among others that a Souslin measurable homomorphism \(\varphi\) mapping a paracompact Čech complete group \(G\) into a topological group \(H\) is continuous. The usual countability type assumptions on \(G,H\) are not needed. Analogous results which do not require countability type conditions have been obtained by \textit{D. H. Fremlin} [Manuscr. Math. 33, 387-405 (1981; Zbl 0459.28010)] for Haar measurable \(\varphi\) and locally compact \(G\).
0 references
Souslin measurable homomorphism
0 references
Souslin graph theorem
0 references
paracompact Čech complete group
0 references
topological group
0 references
