Comparing almost continuous functions
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- by Paul E. Long and Donald A. Carnahan PDF
- Proc. Amer. Math. Soc. 38 (1973), 413-418 Request permission
Abstract:
Three definitions as to when a function from one topological space to another is called almost continuous are cited from the literature. Similarities and dissimilarities of two of these definitions are discussed.References
- James Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass., 1966. MR 0193606
- T. Husain, Almost continuous mappings, Prace Mat. 10 (1966), 1–7. MR 0220256
- Paul E. Long and Earl E. McGehee Jr., Properties of almost continuous functions, Proc. Amer. Math. Soc. 24 (1970), 175–180. MR 251704, DOI 10.1090/S0002-9939-1970-0251704-6
- M. K. Singal and Asha Rani Singal, Almost-continuous mappings, Yokohama Math. J. 16 (1968), 63–73. MR 261569
- J. Stallings, Fixed point theorems for connectivity maps, Fund. Math. 47 (1959), 249–263. MR 117710, DOI 10.4064/fm-47-3-249-263
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 413-418
- MSC: Primary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0310824-0
- MathSciNet review: 0310824