On the Structure of Locally Solid Topologies
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 185-191
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This paper considers what conditions on the order structure of a Riesz space will insure that one locally solid topology is finer than another, or when does one topology induce a finer topology than another on the order bounded subsets. The basic tool employed for the comparisons will be the carrier of a locally solid topology. We shall deal mainly with topologies whose carriers are order dense; a locally solid topology with order dense carrier will be called entire.
Aliprantis, C. D.; Burkinshaw, O. On the Structure of Locally Solid Topologies. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 185-191. doi: 10.4153/CMB-1980-025-5
@article{10_4153_CMB_1980_025_5,
author = {Aliprantis, C. D. and Burkinshaw, O.},
title = {On the {Structure} of {Locally} {Solid} {Topologies}},
journal = {Canadian mathematical bulletin},
pages = {185--191},
year = {1980},
volume = {23},
number = {2},
doi = {10.4153/CMB-1980-025-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-025-5/}
}
TY - JOUR AU - Aliprantis, C. D. AU - Burkinshaw, O. TI - On the Structure of Locally Solid Topologies JO - Canadian mathematical bulletin PY - 1980 SP - 185 EP - 191 VL - 23 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-025-5/ DO - 10.4153/CMB-1980-025-5 ID - 10_4153_CMB_1980_025_5 ER -
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