View More View Less
  • 1 Magyar Tudományos Akadémia, Rényi Alfréd Kutatóintézet Pf. 127. H-1364 Budapest, Hungary
  • 2 Department of Mathematics, University of Wisconsin Madison, WI, 53706, USA
Restricted access

Purchase article

USD  $25.00

1 year subscription (Individual Only)

USD  $800.00

There is a compact 0-dimensional Hausdorff space X of weight N1 with an x?X which is a weak P-point and not a P-point. There is a zero-dimensional LN1 space X of weight and cardinality N2, with a non-isolated weak PN2-point to which no discrete subset of X accumulates.

  • DOW, A., An introduction to applications of elementary submodels to topology, Topology Proc. 13 (1988), 17-72. MR 91a:54003

    'An introduction to applications of elementary submodels to topology ' () 13 Topology Proc. : 17 -72.

    • Search Google Scholar
  • KUNEN, K., Weak P-points in N*, Topology, Vol II (Proc. Fourth Colloq., Budapest, 1978), Colloq. Math. Soc. János Bolyai, 23, North-Holland, Amsterdam-New York, 1980, 741-749. MR 82a:54046

    'Weak P-points in N*, Topology, Vol II (Proc. Fourth Colloq., Budapest, 1978) ' () 23 Colloq. Math. Soc. János Bolyai : 741 -749.

    • Search Google Scholar
  • ROITMAN, J., Basic S and L Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984, 295-326. MR 87a:54043

    Basic S and L Handbook of set-theoretic topology , () 295 -326.

  • DOW, A., TKAČENKO, M. G., TKAČUK, V. V. and WILSON, R. G., Topologies generated by discrete subspaces (preprint).

    Topologies generated by discrete subspaces (preprint). , ().

  • JUHASZ, I., A survey of S and L spaces, Topology, Vol. II (Proc. Fourth Colloq., Budapest, 1978Colloq. Math. Soc. Jànos Bolyai, 23, North-Holland, Amsterdam-New York, 1980, 675-688. MR 81j:54001

    A survey of S and L spaces, Topology , () 675 -688.

  • JUHÁSZ, I., Cardinal functions, Recent progress in general topology (Prague, 1991), North-Holland, Amsterdam, 1992, 417-441. CMP 1 229 134

    Cardinal functions, Recent progress in general topology (Prague, 1991) , () 417 -441.

    • Search Google Scholar
  • DOUWEN, E. K. VAN, Applications of maximal topologies, Topology Appl. 51 (1993), 125-139. MR 94h:54012

    ', Applications of maximal topologies ' () 51 Topology Appl. : 125 -139.

  • DOW, A., Weak P-points in compact CCC F-spaces, Trans. Amer. Math. Soc. 269 (1982), 557-565. MR 83b:54028

    'Weak P-points in compact CCC F-spaces ' () 269 Trans. Amer. Math. Soc. : 557 -565.

  • SHELAH, S., Colouring and non-productivity of N2-CC, Ann. Pure Appl. Logic 84 (1997), 153-174. MR 98a:03075

    'Colouring and non-productivity of N2-CC ' () 84 Ann. Pure Appl. Logic : 153 -174.