Geodesic
Cofinal families in certain function spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 29 (1988) no. 4, pp. 665-675

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Classification : 03E05, 53B10, 54A25, 54C35 
Comfort, William Wistar. Cofinal families in certain function spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 29 (1988) no. 4, pp. 665-675. http://geodesic.mathdoc.fr/item/CMUC_1988_29_4_a4/
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[1] René Baire: Sur la représentation des fonctions discontinues. Première partie. Acta Math. 30 (1906), 1-48. | MR

[2] René Baire: Sur la représentation des fonctions discontinues. Deuxième partie. Acta Math. 32 (1909), 97-176. | MR

[3] George Baloglou: Compact-covering numbers. Doctoral Dissertation. Wesleyan University. 1986.

[4] George Baloglou W. W. Comfort: Compact-covering numbers. Fundamenta Math. To appear. | MR

[5] W. W. Comfort S. Negrepontis: The Theory of Ultrafilters. Grundlehren der math. Wissenschaften, Band 211. Springer-Verlag. Berlin - Heidelberg - New York. 1974. | MR

[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

[7] Ryszard Engelking: General Topology. Polska Akademia Nauk, Instytut Matematyczny, Tom 60. Warszawa, Poland. 1977. | MR

[8] Felix Hausdorff: Untersuchen über Ordnungstypen. Berichte der Sachsischen Acad. Wissenschaften 55 (1907), 84-159.

[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

[10] Stephen H. Hechler: On a uniquitous cardinal. Proc. Amer. Math. Soc. 52 (1975), 348-352. | MR

[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

[12] Thomas Jech: Set Theory. Pure and Applied Mathematics, vol. 79. Academic Press, New York - San Francisco - London, 1978. | MR

[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

[14] Miroslav Katětov: Remarks on characters and pseudocharacters. Commentationes Math. Universitatis Carolinae 1 (1) (1960), 20-25.

[15] Miroslav Katětov: On the space of irrational numbers. Commentationes Math. Universitatis Carolinae 1 (2) (1960), 38-42.

[16] Casirnir Kuratowski: Topologie. Volume I. Fourth Edition. Panstwowe Wydawnictwo Naukowe. Warszawa, Poland. 1958. | MR

[17] Waclaw Sierpiński: General Topology. Translated by C. Cecelia Krieger. University of Toronto Press. Mathematical Expositions No. 7. Toronto, Canada. 1952. | MR

[18] Waclaw Sierpiński: Hypothèse du Continue. Second Edition. Chelsea Publ. Co. New York. 1956. | MR

[19] A. Tychonoff: Über die topologische Erweiterung von Räumen. Mathematische Annalen 102 (1929), 544-561.

[20] Jerry E. Vaughan: The Irrational Numbers: Topology and Set Theory. To appear.