Full entry |
PDF
(0.2 MB)
Feedback

$1$-paracompactness of $Y$ in $X$; $2$-paracompactness of $Y$ in $X$; Aull-para-compactness of $Y$ in $X$; $\alpha$-paracompactness of $Y$ in $X$; $1$-lf-paracompactness of $Y$ in $X$; $2$-lf-paracompactness of $Y$ in $X$; Aull-lf-paracompactness of $Y$ in $X$; $\alpha$-lf-paracompactness of $Y$ in $X$; $1$-cp-paracompactness of $Y$ in $X$; $2$-cp-paracompactness of $Y$ in $X$; Aull-cp-paracompactness of $Y$ in $X$; $\alpha$-cp-paracompactness of $Y$ in $X$; absolute embedding; compact; Lindelöf

References:

[1] Arhangel'skii A.V.: **Relative topological properties and relative topological spaces**. Topology Appl. 70 (1996), 87-99. MR 1397067 | Zbl 0848.54016

[2] Arhangel'skii A.V.: **From classic topological invariants to relative topological properties**. Sci. Math. Jpn. 55 (2002), 153-201. MR 1885790

[3] Arhangel'skii A.V., Genedi H.M.M.: **Beginnings of the theory of relative topological properties**. in: General Topology. Spaces and Mappings, MGU, Moscow, 1989, pp.3-48.

[4] Arhangel'skii A.V., Gordienko I.Ju.: **Relative symmetrizability and metrizability**. Comment. Math. Univ. Carolin. 37 (1996), 757-774. MR 1440706 | Zbl 0886.54001

[5] Aull C.E.: **Paracompact subsets**. Proc. Second Prague Topological Symposium, Academia, Prague, 1966, pp.45-51. MR 0234420 | Zbl 0227.54015

[6] Aull C.E.: **Paracompact and countably paracompact subsets**. Proc. Kanpur Topological Conference, 1968, pp.49-53. Zbl 0227.54015

[8] Gillman L., Jerison M.: **Rings of Continuous Functions**. Van Nostrand, Princeton, 1960. MR 0116199 | Zbl 0327.46040

[9] Gordienko I.Ju.: **A characterization of relative Lindelöf property by relative paracompactness**. General Topology. Spaces, mappings and functors, MUG, Moscow, 1992, pp.40-44.

[10] Grabner E.M., Grabner G.C., Miyazaki K.: **On properties of relative metacompactness and paracompactness type**. Topology Proc. 25 (2000), 145-177. MR 1925682 | Zbl 1026.54016

[11] Grabner E.M., Grabner G.C., Miyazaki K., Tartir J.: **Relative collectionwise normality**. Appl. Gen. Topol. 5 (2004), 199-212. MR 2121789 | Zbl 1066.54025

[12] Grabner E.M., Grabner G.C., Miyazaki K., Tartir J.: **Relationships among properties of relative paracompactness type**. Questions Answers Gen. Topology 22 (2004), 91-104. MR 2092833 | Zbl 1076.54018

[13] Kawaguchi S., Sokei R.: **Some relative properties on normality and paracompactness, and their absolute embeddings**. Comment. Math. Univ. Carolin. 46 (2005), 475-495. MR 2174526 | Zbl 1121.54018

[14] Lupia nez F.G.: **On covering properties**. Math. Nachr. 141 (1989), 37-43.

[15] Lupia nez F.G.: **$\alpha$-paracompact subsets and well-situated subsets**. Czechoslovak Math. J. {38}(113) (1988), 191-197. MR 0946286

[16] Lupia nez F.G., Outerelo E.: **Paracompactness and closed subsets**. Tsukuba J. Math. 13 (1989), 483-493. MR 1030230

[17] Michael E.: **A note on paracompact spaces**. Proc. Amer. Math. Soc. 4 (1953), 831-838. MR 0056905 | Zbl 0052.18701

[18] Michael E.: **Another note on paracompact spaces**. Proc. Amer. Math. Soc. 8 (1957), 822-828. MR 0087079 | Zbl 0078.14805

[19] Yamazaki K.: **Aull-paracompactness and strong star-normality of subspaces in topological spaces**. Comment. Math. Univ. Carolin. 45 (2004), 743-747. MR 2103089 | Zbl 1099.54023