Order topologies, and continuity of homomorphisms

Authors

  • Yoshio Tanaka Tokyo Gakugei University

Keywords:

order topology, continuous map, homomorphism, order-preserving map, connected space, ordered group, ordered ring, Archimedean property

Abstract

We consider ordered additive groups (rings, fields), and continuity of homomorphisms between them, in terms of their (algebraic) order topologies. Also, we give related examples.

References

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Published

2025-02-20

How to Cite

Tanaka, Y. (2025). Order topologies, and continuity of homomorphisms. Topology Proceedings, 65, 189–202. Retrieved from https://topology.journals.yorku.ca/index.php/tp/article/view/210

Issue

Section

Uncategorized