✦ LIBER ✦

Mal'tsev and retral spaces

✍ Scribed by P.M. Gartside; E.A. Reznichenko; O.V. Sipacheva

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 955 KB
Volume: 80
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00166-6

No coin nor oath required. For personal study only.

✦ Synopsis

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 space which is not retral is presented. An example of a Lindeliif topological group with cellularity the continuum is presented. Constraints on the examples are examined.

📜 SIMILAR VOLUMES

Mal'tsev spaces, retral spaces and recti

Mal'tsev spaces, retral spaces and rectifiable diagonals

✍ P.J. Collins; P.M. Gartside 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 289 KB

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.

Mal'tsev algebras

✍ V. T. Filippov 📂 Article 📅 1977 🏛 Springer US 🌐 English ⚖ 310 KB

Algebraic Mal'tsev algebras

✍ A. N. Grishkov 📂 Article 📅 1981 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 563 KB

Prime Mal'tsev algebras

✍ V. T. Filippov 📂 Article 📅 1982 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 354 KB

Split Mal'tsev algebras

✍ A. N. Grishkov 📂 Article 📅 1980 🏛 Springer US 🌐 English ⚖ 738 KB

Mal'tsev algebras and their representati

Mal'tsev algebras and their representations

✍ E. N. Kuz'min 📂 Article 📅 1968 🏛 Springer US 🌐 English ⚖ 788 KB