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The Coreflective Subcategory of Sequential Spaces

Published online by Cambridge University Press:  20 November 2018

S. Baron
S. Baron*
Affiliation:
McGill University Clark University
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Certain theorems of recent interest [1, 2] concerning sequential spaces may be deduced from the fact that the category of sequential spaces, is a coreflective subcategory of the category of topological spaces, J. A space is said to be sequential if it has the finest topology that permits the convergence of its convergent sequences.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 4 , October 1968 , pp. 603 - 604
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Franklin, S.P., Spaces in which sequences suffice. Fund. Math., 57 (1965) 107-115.Google Scholar
2. Dudley, R.M., On sequential convergence. Trans. Amer. Math. Soc. 112 (1964) 483-507.Google Scholar
3. Leader, S., Solution to problem 5299. Amer. Math. Mon. 73 (1966) 677-678.Google Scholar
4. Kennison, J., Reflective functors in general topology and elsewhere. Trans. Amer. Math. Soc, 118 (1965) 303-315.Google Scholar