Work

Every coseparable group may be free

Year: 1993

Type: preprint

Abstract: We show that if 2^{aleph_0} Cohen reals are added to the universe, then for every reduced non-free torsion-free abelian group A of cardinality less than the continuum, there is a prime p so that Ext_p(A, Z) not= 0. In particular if it is consistent that there is a supercompact cardinal, then it is consistent (even with weak CH) that every coseparable group is free. The use of some large cardinal hypothesis is needed.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/9305205

Authors: Mekler, Alan H., Shelah, Saharon

Institutions: Simon Fraser University, Rutgers, The State University of New Jersey, Hebrew University of Jerusalem

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Hebrew University of Jerusalem, Natural Sciences and Engineering Research Council of Canada

OpenAlex ID: W2951814909

Cites: 3

Cited by:

Related to: 20