Sequential convergences on cyclically ordered groups without Urysohn’s axiom |
| |
Authors: | Ján Jakubík |
| |
Institution: | (1) Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-040 01 Košice, Slovakia |
| |
Abstract: | In this paper we investigate sequential convergences on a cyclically ordered group G which are compatible with the group operation and with the relation of cyclic order; we do not assume the validity of the
Urysohn’s axiom. The system convG of convergences under consideration is partially ordered by means of the set-theoretical inclusion. We prove that convG is a Brouwerian lattice.
This work has been partially supported by the Slovak Academy of Sciences via the project Center of Excellence-Physics of Information,
grant I/2/2005. |
| |
Keywords: | cyclically ordered group sequential convergence Brouwerian lattice |
本文献已被 SpringerLink 等数据库收录! |