Not every 0-dimensional realcompact space is 𝑁-compact

Not every 0-dimensional realcompact space is $N$-compact
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by Peter Nyikos PDF

Bull. Amer. Math. Soc. 77 (1971), 392-396

References

S. Mrówka, On universal spaces, Bull. Acad. Polon. Sci. Cl. III. 4 (1956), 479–481. MR 0089401
R. Engelking and S. Mrówka, On $E$-compact spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 (1958), 429–436. MR 0097042
Horst Herrlich, ${\mathfrak {E}}$-kompakte Räume, Math. Z. 96 (1967), 228–255 (German). MR 205218, DOI 10.1007/BF01124082
Horst Herrlich, Topologische Reflexionen und Coreflexionen, Lecture Notes in Mathematics, No. 78, Springer-Verlag, Berlin-New York, 1968 (German). MR 0256332, DOI 10.1007/BFb0074312
Prabir Roy, Failure of equivalence of dimension concepts for metric spaces, Bull. Amer. Math. Soc. 68 (1962), 609–613. MR 142102, DOI 10.1090/S0002-9904-1962-10872-6
Prabir Roy, Nonequality of dimensions for metric spaces, Trans. Amer. Math. Soc. 134 (1968), 117–132. MR 227960, DOI 10.1090/S0002-9947-1968-0227960-2
Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199, DOI 10.1007/978-1-4615-7819-2
Kim-peu Chew, A characterization of $N$-compact spaces, Proc. Amer. Math. Soc. 26 (1970), 679–682. MR 267534, DOI 10.1090/S0002-9939-1970-0267534-5