We introduce the notion of a nonarchimedean size function similar to the notion of a size function introduced by Marcos. We describe a class of ring topologies on fields that are complete, neither first countable nor locally bounded, but have topologically nilpotent elements.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-2,
author = {Niel Shell},
title = {Size functions},
journal = {Fundamenta Mathematicae},
volume = {184},
year = {2004},
pages = {109-113},
zbl = {1076.54028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-2}
}
Niel Shell. Size functions. Fundamenta Mathematicae, Tome 184 (2004) pp. 109-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-2/