|
Absolute fixed point sets for continuum-valued maps
Author(s):
Eric
L.
McDowell;
Sam
B.
Nadler Jr.
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1271-1276.
MSC (1991):
Primary 54F15, 54C60
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
The notion of an absolute fixed point set in the setting of continuum-valued maps will be defined and characterized.
References:
- 1.
- R. H. Bing, Partitioning a set, Bull. Amer. Math. Soc. 55 (1949), 1101--1110. MR 11:7331
- 2.
- Jack T. Goodykoontz, Jr., and Sam B. Nadler, Jr., Fixed point sets of continuum-valued mappings, Fund. Math. 122 (1984), 85--103. MR 85h:54028
- 3.
- John R. Martin, On absolute fixed-point sets, Colloq. Math. 35 (1976), 67--71. MR 53:4033
- 4.
- ------, Absolute fixed-point sets in compacta, Colloq. Math. 39 (1977), 41-44. MR 80f:54028
- 5.
- Edwin E. Moise, Grille decomposition and convexification theorems for compact metric locally connected continua, Bull. Amer. Math. Soc. 55 (1949), 1111--1121. MR 11:734a
- 6.
- Sam B. Nadler, Jr., A characterization of locally connected continua by hyperspace retractions, Proc. Amer. Math. Soc. 67 (1977), 167--176. MR 56:16581
- 7.
- ------, Continuum theory, an introduction, Marcel Dekker, Inc., New York, 1992. MR 93m:54002
- 8.
- ------, Hyperspaces of sets, Marcel Dekker, Inc., New York, 1978. MR 58:18330
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
54F15, 54C60
Retrieve articles in all Journals with MSC
(1991):
54F15, 54C60
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
DOI:
10.1090/S0002-9939-96-03269-8
PII:
S 0002-9939(96)03269-8
Keywords:
Multi-valued absolute fixed point set,
continuum,
continuum-valued map,
compactum,
hyperspace,
locally connected
Received by editor(s):
September 14, 1994
Communicated by:
James West
Copyright of article:
Copyright
1996,
American Mathematical Society
|
Comments: webmaster@ams.org