Mathematics of Ramsey Theory pp 154-171 | Cite as

# Partitioning Topological Spaces

Chapter

## 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 to mean the following statement.

$$X\, \to \,(Y)_\lambda ^n$$

## Keywords

Topological Space Order Topology Countable Subset Stationary Subset Partition Relation
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