A note on linearly ordered net spaces.
James R. Boone
Source: Pacific J. Math. Volume 98, Number 1
(1982), 25-35.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102734382
Zentralblatt MATH identifier: 0547.54026
Mathematical Reviews number (MathSciNet): MR644935
References
[1] A. Arkangelskii and S. P. Franklin, Ordinal invariantsfortopological spaces, Michigan Math. J., 15 (1968), 313-320.
Zentralblatt MATH: 0167.51102
[2] S. A. Baber and J. R. Boone, Test spaces for infinite sequential order, submitted.
Zentralblatt MATH: 0505.54025
[3] S. A. Baber and J. R. Boone,Test spaces for -net spaces, in processing.
[4] J. R. Boone, S. W. Davis and G. Gruenhage, Cardinal functionsfor k-spaces, Proceedings of AMS, 68 (1978), 355-358.
Mathematical Reviews (MathSciNet): MR57:7531
Zentralblatt MATH: 0384.54001
[5] R. C. Briggs, Preparacompactness and ^-preparacompactnessin q-spaces, Colloquium Mathematicum, 27 (1973), 227-235.
Mathematical Reviews (MathSciNet): MR52:6662
Zentralblatt MATH: 0254.54018
[6] S. W. Davis, Spaces with linearly ordered bases, Topology Proceedings 3 (1978), 37-51.
Mathematical Reviews (MathSciNet): MR81h:54032
Zentralblatt MATH: 0413.54025
[7] S. W. Davis and S. C. Smith, The paracompactness of preparacompact spaces, to appear in Topology Proceedings.
Mathematical Reviews (MathSciNet): MR88d:54026
Zentralblatt MATH: 0611.54020
[8] K. M. Dvei, P. R. Meyer and M. Rajagopalan, When does contable compactness imply sequential compactness?, General Topology and its Applications, 6 (1976), 279-289.
Mathematical Reviews (MathSciNet): MR54:8566
Zentralblatt MATH: 0336.54024
[9] S. P. Franklin, Natural covers, Compositio Mathematica, 21 (1969), 253-261.
Mathematical Reviews (MathSciNet): MR40:3491
Zentralblatt MATH: 0188.27901
[10] S. P. Franklin, Spaces in which sequences suffice, Fundamenta mathematica, 57 (1975), 107-115.
Mathematical Reviews (MathSciNet): MR31:5184
Zentralblatt MATH: 0132.17802
[11] S. Nitta, Strong-preparacompactness in quasi-k-spaces, Mathematica Japanicae, 19 (1974), 291-296.
Mathematical Reviews (MathSciNet): MR53:9145
Zentralblatt MATH: 0306.54028
[12] J. E. Vaughan, Convergence, closed projections and compactness, Proceedings of AMS, 51 (1975), 496-476.
Mathematical Reviews (MathSciNet): MR51:6689
Zentralblatt MATH: 0282.54001
Pacific Journal of Mathematics
