Embedding Trees in the Rationals
- 1 December 1970
- journal article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 67 (4) , 1748-1753
- https://doi.org/10.1073/pnas.67.4.1748
Abstract
An example is presented of a simple algebraic statement whose truth cannot be decided within the framework of ordinary mathematics, i.e., the statement is independent of the usual axiomatizations of set theory. The statement asserts that every tree-like ordering of power equal to or less than the first uncountable cardinal can be embedded homomorphically into the rationals.Keywords
This publication has 1 reference indexed in Scilit:
- SOUSLIN'S PROBLEMProceedings of the National Academy of Sciences, 1968