P. Nickolas

activity

20082012

most citedOn the topology of free paratopological groups

21 citations · 23 across the 6 of their papers we have counts for

collaborators

6 papers

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…

math.GN2010★ 21 cited

On the topology of free paratopological groups

Ali Sayed Elfard, Peter Nickolas

The result often known as Joiner's lemma is fundamental in understanding the topology of the free topological group $F (X)$ on a Tychonoff space $X$ . In this paper, an analogue of Jo…

math.MG2009

Finite Quasihypermetric Spaces

Peter Nickolas, Reinhard Wolf

Let $(X, d)$ be a compact metric space and let $M (X)$ denote the space of all finite signed Borel measures on $X$ . Define $I : M (X) \to R$ by $I(mu) = \in…

math.MG2008

Distance Geometry in Quasihypermetric Spaces. III

Peter Nickolas, Reinhard Wolf

Let $(X, d)$ be a compact metric space and let $M (X)$ denote the space of all finite signed Borel measures on $X$ . Define $I : M (X) \to R$ by \[ I(μ) = \i…

math.MG2008★ 2 cited

Distance Geometry in Quasihypermetric Spaces. II

Peter Nickolas, Reinhard Wolf

Let $(X, d)$ be a compact metric space and let $M (X)$ denote the space of all finite signed Borel measures on $X$ . Define $I : M (X) \to R$ by \[ I(μ) = \i…

math.MG2008

Distance Geometry in Quasihypermetric Spaces. I

Peter Nickolas, Reinhard Wolf

Let $(X, d)$ be a compact metric space and let $M (X)$ denote the space of all finite signed Borel measures on $X$ . Define $I : M (X) \to R$ by \[I(μ) = \in…