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A Note on Embedding

Published online by Cambridge University Press:  20 November 2018

P. A. Pittas
P. A. Pittas*
Affiliation:
Dalhousie University
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Let Qt = [0, 1] be equipped with the topology consisting of Qt, the empty set and all subsets of Qt of the form [0, x), 0 < x ≦ 1. R. Nielsen and C. Sloyer [1, p. 514] proved that every T0-space can be embedded in for a suitable F. The purpose of this note is to generalize this result.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 3 , June 1969 , pp. 343 - 345
Copyright
Copyright © Canadian Mathematical Society 1969

References

1. Nielsen, R. and Sloyer, C., On embedding in quasi-cubes. Amer. Math. Monthly 75 (1968) 514–515.Google Scholar
2. Kelley, J. L., General topology. (Van Nostrand, Princeton, N.J., 1955).Google Scholar
3. Problem No. 5566. Amer. Math. Monthly 75 (1968) 198.Google Scholar