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Open Access Published by De Gruyter Open Access November 12, 2013

Neighborhood base at the identity of free paratopological groups

  • Ali Sayed Elfard EMAIL logo

Abstract

In 1985, V. G. Pestov described a neighborhood base at the identity of free topological groups on a Tychonoff space in terms of the elements of the fine uniformity on the Tychonoff space. In this paper, we extend Postev’s description to the free paratopological groups where we introduce a neighborhood base at the identity of free paratopological groups on any topological space in terms of the elements of the fine quasiuniformity on the space.

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Received: 2013-4-10
Accepted: 2013-10-1
Published Online: 2013-11-12

©2013 Versita Sp. z o.o.

This content is open access.

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