Skip to main content
SpringerLink
Log in

Scattered subsets of\(\mathbb{Q}\)

  • Published:
Order Aims and scope Submit manuscript

Abstract

A linear order isscattered if it contains no copy of the rationals. The scattered subsets of\(\mathbb{Q}\) form a better quasi-order under embeddability via order automorphisms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Laver R. (1971) On Fraïssé's order type conjecture,Annals Math. 93, 89–111.

    Google Scholar 

  2. Nash-Williams C.St. J. A. (1965) On well-quasi-ordering infinite trees,Proc. Cambridge Phil. Soc. 61, 697–720.

    Google Scholar 

  3. Rosenstein J. (1982)Linear Orderings, Academic Press, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6, Burnaby, B.C., Canada

    Alan H. Mekler

Authors
  1. Alan H. Mekler
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by N. Zaguia

Research supported by NSERC grant #9848.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mekler, A.H. Scattered subsets of\(\mathbb{Q}\) . Order 9, 159–162 (1992). https://doi.org/10.1007/BF00814407

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00814407

Mathematics Subject Classifications (1991)

Key words

Search

Navigation