Absolute fixed point sets for continuum-valued maps
HTML articles powered by AMS MathViewer
- by Eric L. McDowell and Sam B. Nadler Jr. PDF
- Proc. Amer. Math. Soc. 124 (1996), 1271-1276 Request permission
Abstract:
The notion of an absolute fixed point set in the setting of continuum-valued maps will be defined and characterized.References
- Morgan Ward and R. P. Dilworth, The lattice theory of ova, Ann. of Math. (2) 40 (1939), 600–608. MR 11, DOI 10.2307/1968944
- Jack T. Goodykoontz and Sam B. Nadler Jr., Fixed point sets of continuum-valued mappings, Fund. Math. 122 (1984), no. 1, 85–103. MR 753017, DOI 10.4064/fm-122-1-85-103
- John R. Martin, On absolute fixed-point sets, Colloq. Math. 35 (1976), no. 1, 67–71, 177. MR 400198, DOI 10.4064/cm-35-1-67-71
- John R. Martin, Absolute fixed-point sets in compacta, Colloq. Math. 39 (1978), no. 1, 41–44. MR 507261, DOI 10.4064/cm-39-1-41-44
- Morgan Ward and R. P. Dilworth, The lattice theory of ova, Ann. of Math. (2) 40 (1939), 600–608. MR 11, DOI 10.2307/1968944
- Sam B. Nadler Jr., A characterization of locally connected continua by hyperspace retractions, Proc. Amer. Math. Soc. 67 (1977), no. 1, 167–176. MR 458378, DOI 10.1090/S0002-9939-1977-0458378-6
- Sam B. Nadler Jr., Continuum theory, Monographs and Textbooks in Pure and Applied Mathematics, vol. 158, Marcel Dekker, Inc., New York, 1992. An introduction. MR 1192552
- Sam B. Nadler Jr., Hyperspaces of sets, Monographs and Textbooks in Pure and Applied Mathematics, Vol. 49, Marcel Dekker, Inc., New York-Basel, 1978. A text with research questions. MR 0500811
Additional Information
- Eric L. McDowell
- Affiliation: Department of Mathematics, West Virginia University, P.O. Box 6310, Morgantown, West Virginia 26506-6310
- Address at time of publication: Department of Mathematics, Bethany College, Bethany, West Virginia 26032
- Email: e.mcdowell@mail.bethany.wvnet.edu
- Sam B. Nadler Jr.
- Affiliation: Department of Mathematics, West Virginia University, P.O. Box 6310, Morgantown, West Virginia 26506-6310
- Received by editor(s): September 14, 1994
- Communicated by: James West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1271-1276
- MSC (1991): Primary 54F15, 54C60
- DOI: https://doi.org/10.1090/S0002-9939-96-03269-8
- MathSciNet review: 1317042