- Abstract:
- A space X is Mal'tsev if there exists a continuous map M: X3 → X such that M(x, y, y) = x = M(y, y, x). 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 Lindelöf topological group with cellularity the continuum is presented. Constraints on the examples are examined.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
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(pdf, 954.8KB)
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- Publisher:
- Elsevier Inc. Publisher's website
- Journal:
- Topology and its Applications Journal website
- Volume:
- 80
- Issue:
- 1-2
- Pages:
- 115–129
- Publication date:
- 1997-10-05
- ISSN:
-
0166-8641
- URN:
-
uuid:7c6d39b2-4818-43a4-a177-f4f76e411514
- Local pid:
- ora:10771
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 1997
- Notes:
- Copyright 1997 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
Journal article
Mal'tsev and retral spaces
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