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Hereditarily plumed spaces. (English) Zbl 0462.54018

MSC:
54E18 \(p\)-spaces, \(M\)-spaces, \(\sigma\)-spaces, etc.
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
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[1] A. V. Arkhangel’skii [A. V. Archangel’skii], ?Onhereditary properties,? Gen. Top. Appl.,3, No. 1, 39-46 (1973). · Zbl 0264.54004
[2] R. E. Hodel, ?On a theorem of Archangel’skii concerning Lindelöf p-spaces,? Can. J. Math.,27, No. 3, 459-469 (1975). · Zbl 0301.54010
[3] I. Juhász, ?A generalization of nets and bases,? Period Math. Hung.,7, No. 2, 183-193 (1976). · Zbl 0346.54003
[4] A. V. Arkhangel’skii and V. I. Ponomarev, Fundamentals of General Topology in Problems and Exercises [in Russian], Nauka, Moscow (1974).
[5] A. V. Arkhangel’skii, ?On a class of spaces that contain all metrizable and all locally compact spaces,? Dokl. Akad. Nauk SSSR,151, 751-754 (1963).
[6] A. V. Arkhangel’skii, ?Mappings and spaces,? Usp. Mat. Nauk,21, No. 4, 133-184 (1966).
[7] A. V. Arkhangel’skii, ?On the cardinality of compacta with the first axiom of countability,? Dokl. Akad. Nauk SSSR,187, No. 5, 967-970 (1969).
[8] R. E. Hodel, ?On the weight of a topological space,? Proc. Am. Math. Soc.,43, 470-474 (1974). · Zbl 0284.54001
[9] D. K. Burke, ?On p-spaces and ??-spaces,? Pac. J. Math.,35, No. 2, 285-297 (1970). · Zbl 0204.55703
[10] K. Kuratowski, Topology, Vol. 1, Academic Press (1966).
[11] J. Groot, ?Discrete subspaces of Hausdorff spaces,? Bull. Acad. Pol. Sci., Ser. Sci. Math. Astron. Phys.,13, No. 8, 537-544 (1965). · Zbl 0136.19404
[12] H. H. Wicke and J. M. Worrell, ?Characterizations of developable spaces,? Can. J. Math.,17, 820-830 (1965). · Zbl 0132.18401
[13] E. Michael and R. Heath, ?A property of Sorgenfrey line,? Compositio Math.,23, 185-188 (1971). · Zbl 0219.54033
[14] J. G. Ceder, ?Some generalizations of metric spaces,? Pac. J. Math.,11, No. 1, 105-126 (1961). · Zbl 0103.39101
[15] D. K. Burke and R. A. Stoltenberg, ?A note on p-spaces and Moore spaces,? Pac. J. Math.,30, No. 3, 601-609 (1969).
[16] D. E. Kullman, ?Developable spaces and p-spaces,? Proc. Am. Math. Soc.,27, No. 1, 154-161 (1971). · Zbl 0209.53903
[17] P. S. Aleksandrov and P. S. Urysohn, ?Mémoire sur les Espaces Topologiques Compacts,? Verh. Nederl. Akad. Wetensch. Afd. Naturk. Sec. I,14, 1-96 (1929).
[18] I. Juhász, K. Kunen, and M. E. Rudin, ?Two more hereditarily separable non-Lindelöf spaces,? Can. J. Math.,28, No. 5, 998-1006 (1976). · Zbl 0336.54040
[19] N. V. Velichko, ?A remark on plumed spaces,? Chekosl. Mat. ?.,25, No. 1, 8-19 (1975).
[20] N. N. Yakovlev, ?On the pseudocharacter of O-metrizable spaces,? in: Eighth All-Union Topological Conference (Abstracts), Minsk [in Russian], Vol. 1, Mir, Moscow (1966).
[21] N. N. Yakovlev, ?On the theory of O-metrizable spaces,? Dokl. Akad. Nauk SSSR,229, No. 6, 1330-1333 (1976). · Zbl 0345.54037
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