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Mal'tsev spaces, retral spaces and rectifiable diagonals

✍ Scribed by P.J. Collins; P.M. Gartside

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
289 KB
Volume
77
Category
Article
ISSN
0166-8641

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✦ Synopsis

The paper presents some recent results on the topics in its title, in the context of an ongoing pursuit of a deeper understanding of how algebraic and topological conditions in the theory of topological groups inter-relate.

πŸ“œ SIMILAR VOLUMES

Mal'tsev and retral spaces
Mal'tsev and retral spaces
✍ P.M. Gartside; E.A. Reznichenko; O.V. Sipacheva πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 955 KB

A space X is Mal'tsev if there exists a continuous map M : X3 + X such that M(s, y, y) = z = A4(y, y, z). A space X is retral if it is a retract of a topological group. Every retral space is Mal'tsev. General methods for constructing Mal'tsev and retral spaces are given. An example of a Mal'tsev spa