Products of protopological groups

Julie C. Jones

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-3

Abstract:

Montgomery and Zippin saied that a group is approximated by Lie groups if every neighborhood of the identity contains an invariant subgroup H such that G / H is topologically isomorphic to a Lie group. Bagley, Wu, and Yang gave a similar definition, which they called a pro-Lie group. Covington extended this concept to a protopological group. Covington showed that protopological groups possess many of the characteristics of topological groups. In particular, Covington showed that in a special case, the product of protopological groups is a protopological group. In this note, we give a characterization theorem for protopological groups and use it to generalize her result about products to the category of all protopological groups.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:375230

DOI: 10.1155/S016117120100727X

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