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Countable partitions of product spaces

Published online by Cambridge University Press:  26 February 2010

Gadi Moran  and
Dona Strauss
Gadi Moran
Affiliation:
Department of Mathematics, University of Haifa, Haifa, Israel
Dona Strauss
Affiliation:
Department of Pure Mathematics, University of Hull, Hull, North Humberside, England.
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Extract

Problems about partitions of cartesian products are common in mathematics. For example, in finite and infinite combinatorics, they keep emerging in Ramsay theory, where one seeks to show that, if a product is partitioned into finitely many parts, one part at least must contain a subset of a certain specified kind. In the transition from finite to infinite products, one usually imposes restrictions of a topological nature on the partition, in order to obtain theorems analogous to those which are valid in the finite case. (See, e.g., [G-P], [Si], [E].)

Type
Research Article
Information
Mathematika , Volume 27 , Issue 2 , December 1980 , pp. 213 - 224
Copyright
Copyright © University College London 1980

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References

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