| Title | Hausdorff first countable, countably compact space is omega-bounded |
| Publication Type | Unpublished |
| Year of Publication | 2007 |
| Authors | Freire NC, Veiga MF |
| Series Title | Preprint |
| Abstract | In this paper we obtain an answer to the question in Problem 288, the book Open Problems in Topology by Jan van Mill and George M. Reed, p. 131. Namely, we prove that a Hausdorff first countable, countably compact topological space is ω-bounded. We also point out errors ocurring in the literature concerning the Ostaszewski spaces. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2007/16_07.pdf |