| Title:
|
Cofinal families in certain function spaces (English) |
| Author:
|
Comfort, William Wistar |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
29 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
665-675 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03E05 |
| MSC:
|
53B10 |
| MSC:
|
54A25 |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 0666.54002 |
| idMR:
|
MR982784 |
| . |
| Date available:
|
2008-06-05T21:35:37Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106682 |
| . |
| Reference:
|
[1] René Baire: Sur la représentation des fonctions discontinues.Première partie. Acta Math. 30 (1906), 1-48. MR 1555022 |
| Reference:
|
[2] René Baire: Sur la représentation des fonctions discontinues.Deuxième partie. Acta Math. 32 (1909), 97-176. MR 1555048 |
| Reference:
|
[3] George Baloglou: Compact-covering numbers.Doctoral Dissertation. Wesleyan University. 1986. |
| Reference:
|
[4] George Baloglou W. W. Comfort: Compact-covering numbers.Fundamenta Math. To appear. MR 0970915 |
| Reference:
|
[5] W. W. Comfort S. Negrepontis: The Theory of Ultrafilters.Grundlehren der math. Wissenschaften, Band 211. Springer-Verlag. Berlin - Heidelberg - New York. 1974. MR 0396267 |
| Reference:
|
[6] Eric K. van Douwen: The integers and topology.In: Handbook of General Topology, edited by Jerry E. Vaughan and Kenneth Kunen, pp. 111-167. North-Holland Publishing Co., Inc. Amsterdam. 1984. MR 0776622 |
| Reference:
|
[7] Ryszard Engelking: General Topology.Polska Akademia Nauk, Instytut Matematyczny, Tom 60. Warszawa, Poland. 1977. MR 0500779 |
| Reference:
|
[8] Felix Hausdorff: Untersuchen über Ordnungstypen.Berichte der Sachsischen Acad. Wissenschaften 55 (1907), 84-159. |
| Reference:
|
[9] Stephen H. Hechler: On the existence of certain cofinal subsets of ${}^{\omega}\omega $.In: Proc. Sympos. Pure Math. vol. 13, part 2, pp. 155-173. American Mathematical Society, Providence, RL 1974. MR 0360266 |
| Reference:
|
[10] Stephen H. Hechler: On a uniquitous cardinal.Proc. Amer. Math. Soc. 52 (1975), 348-352. MR 0380705 |
| Reference:
|
[11] Stephen H. Hechler: A dozen small uncountable cardinals.In: TOPO 72-General Topology and Its Applications (Proc. Second Pittsburgh International Conference of 1972), pp. 207-218. Lecture Notes in Mathematics, vol. 378. Springer-Verlag. Berlin. 1974. MR 0369078 |
| Reference:
|
[12] Thomas Jech: Set Theory.Pure and Applied Mathematics, vol. 79. Academic Press, New York - San Francisco - London, 1978. MR 0506523 |
| Reference:
|
[13] Thomas Jech, Karel Prikry: Cofinality of the partial ordering of functions from $\omega_1 $ into co under eventual domination.Math. Proc. Cambridge Philosophical Soc. 95 (1984), 25-32. MR 0727077 |
| Reference:
|
[14] Miroslav Katětov: Remarks on characters and pseudocharacters.Commentationes Math. Universitatis Carolinae 1 (1) (1960), 20-25. |
| Reference:
|
[15] Miroslav Katětov: On the space of irrational numbers.Commentationes Math. Universitatis Carolinae 1 (2) (1960), 38-42. |
| Reference:
|
[16] Casirnir Kuratowski: Topologie.Volume I. Fourth Edition. Panstwowe Wydawnictwo Naukowe. Warszawa, Poland. 1958. MR 0090795 |
| Reference:
|
[17] Waclaw Sierpiński: General Topology.Translated by C. Cecelia Krieger. University of Toronto Press. Mathematical Expositions No. 7. Toronto, Canada. 1952. MR 0050870 |
| Reference:
|
[18] Waclaw Sierpiński: Hypothèse du Continue.Second Edition. Chelsea Publ. Co. New York. 1956. MR 0090558 |
| Reference:
|
[19] A. Tychonoff: Über die topologische Erweiterung von Räumen.Mathematische Annalen 102 (1929), 544-561. |
| Reference:
|
[20] Jerry E. Vaughan: The Irrational Numbers: Topology and Set Theory.To appear. |
| . |
