Title

Free local semigroup constructions

Document Type

Article

Publication Date

1-1-1996

Abstract

We introduce the notions of causal paths and causal homotopies, modifications of the traditional notions of paths and homotopies, as more suitable for certain basic constructions in (Lie) semigroup theory. The major result is the construction in this causal context of an analogue of the universal covering semigroup and the demonstration that local homomorphisms on the given semigroup extend to global homomorphisms on it. In certain important cases, it is shown that this semigroup actually agrees with the universal covering semigroup. © Springer-Verlag 1996.

Publication Source (Journal or Book title)

Monatshefte fur Mathematik

First Page

309

Last Page

333

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