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Spaces of functions determined by iterated limits at infinity on an oid

Published online by Cambridge University Press:  24 October 2008

A. M. Aminpour
A. M. Aminpour
Affiliation:
Department of Mathematics, Faculty of Science, Ahwaz University, Ahwaz, Iran
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Extract

In recent years many mathematicians have studied the semigroups S, the Stone-ech compactification of the discrete semigroup S, and more particularly ℕ, where ℕ is the usual semigroup of positive integers with addition (see the surveys by Hindman and Pym 6). An important role in this theory is played by sequences in S which have distinct finite sums, for these sequences are closely linked to idempotents in S (see the survey by Hindman 6). Pym 8 introduced the concept of an oid in order to show that the structure of ℕ in 5 could be obtained in a simple way for a large class of semigroups. Papazyan 7 pointed out that the theories of sequences with distinct finite sums and of oids are the same. Thus oids have a central position in the theory of semigroup compactifications.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 127 - 142
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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