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Displaying similar documents to “On Some Spaces which can be Partioned by the Rational Line.”

Extended Ramsey theory for words representing rationals

Vassiliki Farmaki, Andreas Koutsogiannis (2013)

Fundamenta Mathematicae

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Ramsey theory for words over a finite alphabet was unified in the work of Carlson, who also presented a method to extend the theory to words over an infinite alphabet, but subject to a fixed dominating principle. In the present work we establish an extension of Carlson's approach to countable ordinals and Schreier-type families developing an extended Ramsey theory for dominated words over a doubly infinite alphabet (in fact for ω-ℤ*-located words), and we apply this theory, exploiting...

Universal rational spaces

J. C. Mayer, E. D. Tymchatyn

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CONTENTS1. Introduction......................................................................52. Rim-type and decompositions..........................................83. Defining sequences and isomorphisms..........................184. Embedding theorem.......................................................265. Construction of universal and containing spaces...........326. References....................................................................39