Document Type
Article
Language
eng
Publication Date
9-1990
Publisher
Association for Symbolic Logic
Source Publication
Journal of Symbolic Logic
Source ISSN
0022-4812
Original Item ID
10.2307/2274467
Abstract
Given a finite lexicon L of relational symbols and equality, one may view the collection of all L-structures on the set of natural numbers w as a space in several different ways. We consider it as: (i) the space of outcomes of certain infinite two-person games; (ii) a compact metric space; and (iii) a probability measure space. For each of these viewpoints, we can give a notion of relative ubiquity, or largeness, for invariant sets of structures on w. For example, in every sense of relative ubiquity considered here, the set of dense linear orderings on w is ubiquitous in the set of linear orderings on w.
Recommended Citation
Bankston, Paul and Ruitenburg, Wim, "Notions of Relative Ubiquity for Invariant Sets of Relational Structures" (1990). Mathematics, Statistics and Computer Science Faculty Research and Publications. 135.
https://epublications.marquette.edu/mscs_fac/135
Comments
Published version. The Journal of Symbolic Logic, Vol. 55, No. 3 (September 1990): 948-986. DOI. © 1990 The Association for Symbolic Logic. Used with permission.