Size functions

Niel Shell

Fundamenta Mathematicae (2004)

  • Volume: 183, Issue: 2, page 109-113
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Niel Shell. "Size functions." Fundamenta Mathematicae 183.2 (2004): 109-113. <http://eudml.org/doc/283358>.

@article{NielShell2004,
abstract = {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.},
author = {Niel Shell},
journal = {Fundamenta Mathematicae},
keywords = {size function; topologically nilpotent element; locally bounded topology},
language = {eng},
number = {2},
pages = {109-113},
title = {Size functions},
url = {http://eudml.org/doc/283358},
volume = {183},
year = {2004},
}

TY - JOUR
AU - Niel Shell
TI - Size functions
JO - Fundamenta Mathematicae
PY - 2004
VL - 183
IS - 2
SP - 109
EP - 113
AB - 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.
LA - eng
KW - size function; topologically nilpotent element; locally bounded topology
UR - http://eudml.org/doc/283358
ER -

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