A ug 2 00 8 Partial choice functions for families of finite sets

@inproceedings{Hall2008AU2,
  title={A ug 2 00 8 Partial choice functions for families of finite sets},
  author={Eric Joseph Hall and Saharon Shelah},
  year={2008}
}
Let p be a prime. We show that ZF + “Every countable set of p-element sets has an infinite partial choice function” is not strong enough to prove that every countable set of p-element sets has a choice function, answering an open question from [1]. The independence result is obtained by way of a permutation (FraenkelMostowski) model in which the set of atoms has the structure of a vector space over the field of p elements, and then the use of atoms is eliminated by citing an embedding theorem… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
0 Extracted Citations
5 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-5 of 5 references

Consequences of the axiom of choice

  • Paul Howard, Jean E. Rubin
  • American Mathematical Society,
  • 1998
2 Excerpts

Can the fundamental (homotopy) group of a space be the rationals

  • Saharon Shelah
  • Proceedings of the American Mathematical Society,
  • 1988
2 Excerpts

The axiom of choice

  • Thomas J. Jech
  • Studies in Logic and the Foundations of…
  • 1973
2 Excerpts

Similar Papers

Loading similar papers…