Neighborhood base at the identity of free paratopological groups

2013/01/12 by Ali Sayed Elfard, Elfard, Ali Sayed
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1301.2642

openalex publication_date 2013/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

V. G. Pestov described a neighborhood base at the identity of the Markov free topological group F(X) on a Tychonoff space X in terms of the fine uniformity on X. In this paper, an analogue of Pestov's description for the Markov free paratopological group \FP(X) on a space X in terms of the fine quasi-uniformity on X is found and some properties of the Markov and Graev free paratopological groups are presented.

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