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Abstrakty
In this paper, we prove that a Cauchy symmetric space has a point-countable cs-network if and only if it is a 1-sequence-covering compact-covering quotient π, s-image of a metric space; if and only if it is a sequence-covering quotient π, s-image of a metric space.
Czasopismo
Rocznik
Tom
Strony
163--170
Opis fizyczny
Bibliogr. 15 poz.
Twórcy
Bibliografia
- [1] An T.V., Tuyen L.Q., Further properties of 1-sequence-covering map, Comment. Math. Univ. Carolin., 49(2008), 477-484.
- [2] Arhangel'skii A.V., Mappings and spaces, Russian Math. Surveys, 21(4) (1966), 115-162.
- [3] Engelking R., General Topology, PWN-Polish, Scientific Publishers, W-wa, 1977.
- [4] Ge Y., Lin S., On Ponomarev-systems, Bollettino U. M. I, 8(10-B)(2007), 455-467.
- [5] Ge Y., Lin S., g-metrizable spaces and the images of semi-metric spaces, Czech. Math. J., 57(132)(2007), 1141-1149.
- [6] Lin, S., Liu C., On spaces with point-countable cs-networks, Topology Appl., 74(1996), 51-60.
- [7] Lin S., Point-countable Covers and Sequence-covering Mappings, Science press, Beijing, 2002 (in Chinese).
- [8] Ikeda Y. Liu C., Tanaka Y., Quotient compact images of metric spaces, and related matters, Topology Appl., 122(1-2)(2002), 237-252.
- [9] Lin S, Tanaka Y., Point-countable k-networks, closed maps, and related results, Topology Appl., 59(1994), 79-86.
- [10] Lin S., Yan P., Sequence-covering maps of metric spaces, Topology Appl., 109(2001), 301-314.
- [11] Tanaka Y., Symmetric spaces, g-developable spaces and g-metrizable spaces, Math. Japonica, 36(1991), 71-84.
- [12] Tanaka Y., Theory of k-networks II, Q. and A. General Topology, 19(2001), 27-46.
- [13] Tanaka Y., Ge Y., Around quotient compact images of metric spaces, and symmetric spaces, Houston J. Math., 32(1)(2006), 99-117.
- [14] Tanaka Y., Li Z., Certain covering-maps and k-networks, and related matters, Topology Proc., 27(1)(2003), 317-334.
- [15] Yan P., On strong sequence-covering compact mappings, Northeastern Math. J., 14(1998), 341-344.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
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Bibliografia
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