Burke, Maxim R. “A Proof of Hechler’s Theorem on Embedding N-1-Directed Sets Cofinally into ((ωω, ”. Archive for Mathematical Logic, vol. 36, no. 6, 1997, pp. 399-03, https://doi.org/10.1007/s001530050072.

Genre

  • Journal Article
Contributors
Author: Burke, Maxim R.
Date Issued
1997
Abstract

We give a proof of Hechler's theorem that any aleph(1)-directed partial order can be embedded via a ccc forcing notion cofinally into omega(omega) ordered by eventual dominance, The proof relies on the standard forcing relation rather than the variant introduced by Hechler.

Note

UNIV PRINCE EDWARD ISL,DEPT MATH & COMP SCI,CHARLOTTETOWN,PE C1A 4P3,CANADA.

NEW YORK; 175 FIFTH AVE, NEW YORK, NY 10010

SPRINGER VERLAG

Language

  • English
Page range
399-403
Host Title
Archive for Mathematical Logic
Host Abbreviated Title
Arch.Math.Log.
Volume
36
Issue
6
ISSN
0933-5846