A. S. Elfard

29 citations · 30 across the 3 of their papers we have counts for

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math.GN2013★ 1 cited

Neighborhood base at the identity of free paratopological groups

Ali Sayed Elfard

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 pape…

math.GN2012★ 29 cited

Free paratopological groups

Ali Sayed Elfard

Let $\FP(X)$ be the free paratopological group on a topological space $X$ in the sense of Markov. In this paper, we study the group $\FP(X)$ on a $P_{α}$ -space $X$ where $α$ is an in…

math.GN2012

On the topology of free paratopological groups. II

Ali Sayed Elfard, Peter Nickolas

Let $\FP(X)$ be the free paratopological group on a topological space $X$ . For $n \in N$ , denote by $\FP_n(X)$ the subset of $\FP(X)$ consisting of all words of reduced length at m…