Geodesic
On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 871-880

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_1995_1_4_a2,
     author = {A. V. Arkhangel'skii and V. V. Fedorchuk},
     title = {On one-to-one mappings of countably compact spaces onto {Hausdorff} compact spaces},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {871--880},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a2/}
}
TY  - JOUR
AU  - A. V. Arkhangel'skii
AU  - V. V. Fedorchuk
TI  - On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 871
EP  - 880
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a2/
LA  - ru
ID  - FPM_1995_1_4_a2
ER  - 
%0 Journal Article
%A A. V. Arkhangel'skii
%A V. V. Fedorchuk
%T On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 871-880
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a2/
%G ru
%F FPM_1995_1_4_a2
A. V. Arkhangel'skii; V. V. Fedorchuk. On one-to-one mappings of countably compact spaces onto Hausdorff compact spaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 871-880. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a2/