Monotonely Cauchy locally-solid topologies |
| |
Authors: | Achille Basile Tim Traynor |
| |
Affiliation: | (1) Dipartimento di Matematica e Applicazioni R. Caccioppoli, via Mezzocannone 8, 80134 Napoli, Italy;(2) Department of Mathematics and Statistics, University of Windsor, N9B 3P4 Windsor, Ontario, Canada |
| |
Abstract: | The lattice of monotonely Cauchy (=pre-Lebesgue) locally solid topologies on a given lattice-ordered group is studied. Indentifying topologies agreeing on order bounded sets this lattice becomes a complete Boolean algebra isomorphic to the subalgebra of the lattice's complemented members and realizable as a Boolean algebra of order projections. Some consequences of these results are indicated.Work done while Tim Traynor was visiting professor at University of Napoli sponsored by CNR-Italia. |
| |
Keywords: | 46A40 06F20 28B10 06D20 |
本文献已被 SpringerLink 等数据库收录! |
|