PM-normality and the insertion of a continuous function.
Ernest P. Lane
Source: Pacific J. Math. Volume 82, Number 1
(1979), 155-162.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102785068
Zentralblatt MATH identifier: 0408.54002
Zentralblatt MATH identifier: 0386.54006
Mathematical Reviews number (MathSciNet): MR549840
References
[1] R. P. Dilworth, The normalcompletion of the lattice of continuousfunctions, Trans. Amer. Math. Soc, 8 (1950), 427-438.
Mathematical Reviews (MathSciNet): MR11:647g
Zentralblatt MATH: 0037.20205
[2] C. H. Dowker, On countably paracompact spaces, Canad. J. Math., 3 (1951), 219-224.
Mathematical Reviews (MathSciNet): MR13:264c
Zentralblatt MATH: 0042.41007
[3] R. Engleking, General Topology, Polish Scientific Publishers, Warsaw, Poland, 1977.
Mathematical Reviews (MathSciNet): MR58:18316b
Zentralblatt MATH: 0373.54002
[4] M. Katetov, On real-valued functionsin topological spaces, Fund. Math., 38(1951), 85-91.
Mathematical Reviews (MathSciNet): MR14:304a
Zentralblatt MATH: 0045.25704
[5] E. P. Lane, Insertion of a continuous function,Notices Amer. Math. Soc, (Octo- ber, 1977). Insertionof continuousfunctions,Glasnik Mat. Series III, 6 (25) (1971), Insertion of a continuous function,Pacific J. Math., 66 (1976), 181-190. A sufficient condition for the insertion of a continuousfunction,Proc. Amer. Math. Soc, 49 (1975), 90-94.
Mathematical Reviews (MathSciNet): MR57:13833
Zentralblatt MATH: 0443.54012
[9] J. E. Mack, On a class of countably paracompact spaces, Proc Amer. Math. Soc, 16 (1965), 467-472.
Mathematical Reviews (MathSciNet): MR31:1651
Zentralblatt MATH: 0134.41403
[10] J. E. Mack, Countable paracompactness and weak normality properties, Trans. Amer. Math. Soc, 148 (1970), 265-272.
Mathematical Reviews (MathSciNet): MR41:4485
Zentralblatt MATH: 0209.26904
[11] J. E. Mack and D. G. Johnson, The Dedekind completion of C(X), Pacific J. Math., 20 (1967), 231-243.
Mathematical Reviews (MathSciNet): MR35:2150
[12] E. Michael, Continuous selections I, Ann. of Math., 63 (1956), 361-382.
Mathematical Reviews (MathSciNet): MR17:990e
Zentralblatt MATH: 0071.15902
[13] K. Morita, Paracompactness and product spaces, Fund. Math., 50 (1961), 223-236.
Mathematical Reviews (MathSciNet): MR24:A2365
Zentralblatt MATH: 0099.17401
[14] E. V. Shchepin, Real functionsand near-normal spaces, Sibirskii Mate. Zhurnal, 13 (1972), 1182-1195.
[15] H. Tong, Some characterizationsof normaland perfectly normal spaces, Duke Math. J., 19 (1952), 289-292.
Mathematical Reviews (MathSciNet): MR14:304b
Zentralblatt MATH: 0046.16203
[16] P. Zenor, On countable paracompactness and normality,Prace Math., 13 (1969), 23-32.
Mathematical Reviews (MathSciNet): MR40:1975
Zentralblatt MATH: 0242.54016
Pacific Journal of Mathematics
