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Partitioning Topological Spaces

  • William Weiss
Part of the Algorithms and Combinatorics book series (AC, volume 5)

Abstract

The study of partitions of topological spaces is a relatively new addition to Ramsey theory, but one which promises interesting things in the future. We partition topological spaces and hope to obtain a homogeneous set which is topologically relevant — for instance, a set homeomorphic to a well known topological space. We thus add something new to the ordinary partition calculus of set theory. We do, however, borrow the arrow notation. We write
$$X\, \to \,(Y)_\lambda ^n$$
to mean the following statement.

Keywords

Topological Space Order Topology Countable Subset Stationary Subset Partition Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • William Weiss

There are no affiliations available

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