Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces
Logic
2017-03-31 v2
Abstract
Carlson introduced the notion of a Ramsey space as a generalization to the Ellentuck space. When a Ramsey space is induced by an algebra, Carlson suggested a study of its purely combinatorial version now called Ramsey algebra. Some basic results for homogeneous algebras have been obtained. In this paper, we introduce the notion of a Ramsey algebra for heterogeneous algebras and derive some basic results. Then, we study the Ramsey-algebraic properties of vector spaces.
Keywords
Cite
@article{arxiv.1603.09489,
title = {Heterogeneous Ramsey Algebras and Classification of Ramsey Vector Spaces},
author = {Zu Yao Teoh and Wen Chean Teh},
journal= {arXiv preprint arXiv:1603.09489},
year = {2017}
}
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20 pages