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.
[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[6]
R. ENGELKING,
General Topology,
PWN, Warszawa
1977. |
MR 500780[8]
C. GUIDO,
LJ. D. R. KOČINAC,
Relative covering properties,
Questions and Answers in General Topology,
19 (
2001), 107-114. |
MR 1815350[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] L
J. 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[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