A characterization of spaces on which all path maps are continuous
HTML articles powered by AMS MathViewer
- by P. W. Harley PDF
- Proc. Amer. Math. Soc. 34 (1972), 621-622 Request permission
Abstract:
Here it is shown that all path maps on a topological space X are continuous if and only if X is a quotient image of a locally path connected metric space. This characterization strengthens results of E. Bedford [1].References
- Eric Bedford, Path maps and continuity, Proc. Amer. Math. Soc. 24 (1970), 112–115. MR 253302, DOI 10.1090/S0002-9939-1970-0253302-7
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- S. P. Franklin, Spaces in which sequences suffice, Fund. Math. 57 (1965), 107–115. MR 180954, DOI 10.4064/fm-57-1-107-115 P. W. Harley III, On sequential spaces and maps (submitted).
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 621-622
- MSC: Primary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0309050-X
- MathSciNet review: 0309050