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Causal compactification of compactly causal spaces

By Frank Betten

Abstract

Abstract. We give a classification of causal compactifications of compactly causal spaces. Introduced by Ólafsson and Ørsted, for a compactly causal space G/H, these compactifications are given by G-orbits in the Bergman-ˇSilov boundary of G1/K1, withG⊂G1 and (G1,K1,θ) a Hermitian symmetric space of tube type. For the classical spaces an explicit construction is presented. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.4654
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