Partitioning Topological Spaces

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


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.


Topo Alan ProoL 


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© Springer-Verlag Berlin Heidelberg 1990

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  • William Weiss

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