Part of the Algorithms and Combinatorics book series (AC, volume 5)
Partitioning Topological Spaces
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.
$$X\, \to \,(Y)_\lambda ^n$$
KeywordsTopological 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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