FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 871-880

On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces

A.V.Arhangelskii
V.V.Fedorchuk

We deal with the following problem: is it correct that every separable, countably compact, first countable space admits a one-to-one mapping onto some Hausdorff compact space? Theorems 2 and 3 show that this problem has no positive solution in ZFC.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/95/954/95403.htm
Last modified: October 3, 1997.