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Some remarks on mappings that preserve unit distance

Billich M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2009

Vol. 14

7-11

In the present paper we investigate some properties on isometric mappings between Euclidean spaces. In addition, non-isometric distance one preserving mappings are also considered.

The spaces of closed convex sets in Euclidean spaces with the fell topology

Sakai K., Yang Z.

Bulletin of the Polish Academy of Sciences. Mathematics

2007

Vol. 55, no 2

139-143

Let ConvF(Rn) be the space of all non-empty closed convex sets in Euclidean space Rn endowed with the Fell topology. We prove that ConvF(lRn) ≈ Rn x Q for every n > 1 whereas ConvF(R) ≈ R x I.

The existence of one-parameter semigroups and characterizations of operator-limit distribution

Mincer B.

Demonstratio Mathematica

2001

Vol. 34, nr 2

267-274