English

Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces

Logic 2014-01-14 v2 Combinatorics

Abstract

We investigate infinite versions of vector and affine space partition results, and thus obtain examples and a counterexample for a partition problem for relational structures. In particular we provide two (related) examples of an age indivisible relational structure which is not weakly indivisible.

Keywords

Cite

@article{arxiv.0907.3771,
  title  = {Partitions and Indivisibility Properties of Countable Dimensional Vector Spaces},
  author = {C. Laflamme and L. Nguyen Van The and M. Pouzet and N. Sauer},
  journal= {arXiv preprint arXiv:0907.3771},
  year   = {2014}
}

Comments

Rev 1 (October 6, 2009)

R2 v1 2026-06-21T13:27:39.161Z