bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Bonanzinga, Maddalena and Cammaroto, Filippo and Pansera, Bruno A.:
On Relative $\gamma_k$-Sets
Bollettino dell'Unione Matematica Italiana Serie 8 10-B (2007), fasc. n.2, p. 445-454, Unione Matematica Italiana (English)
pdf (404 Kb), djvu (106 Kb). | MR 2339453 | Zbl 1139.54017

Sunto

In questo articolo viene presentata una versione relativa del $\gamma_k$-insieme introdotto in [12]. Vengono date varie caratterizzazioni di questa proprietà; in particolare una delle caratterizzazioni riguarda la teoria di Ramsey. Inoltre viene fornito un risultato che coinvolge una proprietà della corrispondente funzione tra spazi di funzioni.
Referenze Bibliografiche
[1] A. V. ARHANGELSKIĬ, Topological Function Spaces, Kluwer Academic Publishers, 1992.
[2] L. BABINKOSTOVA - LJ. D. R. KOČINAC - M. SCHEEPERS, Combinatorics of open covers (VIII), Topology and its Applications, 140 (2004), 15-32. | fulltext (doi) | MR 2072954 | Zbl 1051.54019
[3] F. CAMMAROTO - LJ. D. R. KOČINAC, Spaces related to $\gamma$-sets, Math. Balkanica, 58 (2006), 125-129. | MR 2318227
[4] A. CASERTA - G. DI MAIO - LJ. D. R. KOČINAC - E. MECCARIELLO, Applications of k-covers II, Topology and its Applications, 153 (2006), 3277-3293. | fulltext (doi) | MR 2260585 | Zbl 1117.54034
[5] G. DI MAIO - LJ. D. R. KOČINAC - E. MECCARIELLO, Applications of k-covers, Acta Mathematica Sinica, English Series, 22 (2006), 1151-1160. | fulltext (doi) | MR 2245246 | Zbl 1111.54023
[6] R. ENGELKING, General Topology, PWN, Warszawa 1977. | MR 500780
[7] J. GERLITS - ZS. NAGY, Some properties of $C(X)$, I, Topology and its Applications, 14 (1982), 151-161. | fulltext (doi) | MR 667661 | Zbl 0503.54020
[8] C. GUIDO, LJ. D. R. KOČINAC, Relative covering properties, Questions and Answers in General Topology, 19 (2001), 107-114. | MR 1815350
[9] W. JUST, A. W. MILLER, M. SCHEEPERS, P. J. SZEPTYCKI, Combinatorics of open covers II, Topology and its Applications, 73 (1996), 241-266. | fulltext (doi) | MR 1419798 | Zbl 0870.03021
[10] LJ. D. R. KOČINAC, Clousure properties of function spaces, Applied General Topology, 4 (2003), 255-261. | fulltext (doi) | MR 2071202
[11] LJ. D. R. KOČINAC, Selected results on selection principles, In: Proceedings of the 3rd Seminar on Geometry and Topology, July 15-17, 2004, Tabriz, Iran (Sh. Rezapour, ed.), 71-104.
[12] LJ. D. R. KOČINAC, $\gamma$-sets, $\gamma_k$-sets and hyperspaces, Mathematica Balkanica, 19 (2005), 109-118. | MR 2119791 | Zbl 1086.54008
[13] LJ. D. R. KOČINAC - L. BABINKOSTOVA, Function spaces and some relative covering properties, Far East Journal of Mathematical Sciences Special volume, Part II (2000), 247-255. | MR 1771246 | Zbl 0991.54022
[14] LJ. D. R. KOČINAC - C. GUIDO - L. BABINKOSTOVA, On relative $\gamma_k$-sets, East-West Journal of Mathematics, 2 (2000), 195-199. | MR 1825456 | Zbl 0966.54009
[15] LJ. D. R. KOČINAC - M. SCHEEPERS, Combinatorics of open covers (VII): Groupability, Fundamenta Mathematicae, 179 (2003), 131-155. | fulltext EuDML | fulltext (doi) | MR 2029229
[16] SHOU LIN - CHUAN LIU - HUI TENG, Fan tightness and strong Fréchet property of $C_k(X)$, Advances in Mathematics (Beiging) 23 (1994) 234-237 (Chinese); MR. 95e:54007, Zbl. 808.54012. | MR 1292753 | Zbl 0808.54012
[17] R. A. MCCOY, Function spaces which are k-spaces, Topology Proceedings, 5 (1980), 139-146. | MR 624467 | Zbl 0461.54011
[18] A. W. MILLER, The cardinal characteristic for relative $\gamma_k$-sets, Topology and its Applications, to appear. | fulltext (doi) | MR 2498919
[19] A. OKUYAMA - T. TERADA, Function spaces, In: Topics in General Topology, K. Morita and J. Nagata, Eds. (Elsevier Science Publishers B.V., Amsterdam (1989) 411-458. | fulltext (doi) | MR 1053202
[20] M. SCHEEPERS, Combinatorics of open covers I: Ramsey theory, Topology and its Applications, 69 (1996), 31-62. | fulltext (doi) | MR 1378387 | Zbl 0848.54018

La collezione può essere raggiunta anche a partire da EuDML, la biblioteca digitale matematica europea, e da mini-DML, il progetto mini-DML sviluppato e mantenuto dalla cellula Math-Doc di Grenoble.

Per suggerimenti o per segnalare eventuali errori, scrivete a

logo MBACCon il contributo del Ministero per i Beni e le Attività Culturali