Continuum Nonisomorphic Rational Groups

Authors

  • Mihail Ursul Department of Mathematics and Computer Science; PNG University of Technology

Keywords:

locally connected space, rational topological group, regular topological group

Abstract

We construct a set of power of continuum nonisomorphic connected, rational, second metrizable Abelian topological groups. We also construct a nonmetrizable, connected, rational topological Abelian group.

References

N. Bourbaki, General Topology: Application of Real Numbers in General Topology. Functional Spaces (Russian). Moscow: Izdat. "Nauka," 1975.

Dikran Dikranjan and Sidney A. Morris, Subgroups of products of locally compact groups, Topology Proc. 26 (2001/02), no. 2, 533-544.

Ryszard Engelking, Dimension Theory. Translated from the Polish and revised by the author. North-Holland Mathematical Library, 19. Amsterdam-Oxford-New York: North-Holland Publishing Co.; Warsaw: PWN-Polish Scientific Publishers, 1978.

Edwin Hewitt and Kenneth A. Ross, Abstract Harmonic Analysis. Vol. I: Structure of Topological Groups, Integration Theory, Group Representations. 2nd ed. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 115. Berlin-New York: Springer-Verlag, 1979.

K. Kuratovskiĭ, Topology. Vol. 2. (Russian) Translated from the English by M. Ja. Antonovskiĭ Izdat. "Mir," Moscow, 1969.

Published

2020-10-01

How to Cite

Ursul, M. (2020). Continuum Nonisomorphic Rational Groups. Topology Proceedings, 58, 125–129. Retrieved from https://topology.journals.yorku.ca/index.php/tp/article/view/46

Issue

Section

General and Set Theoretic Topology (Research Papers)