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Means on solenoids
Author(s):
Pawel
Krupski
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1931-1933.
MSC (2000):
Primary 54H11, 54F15
Posted:
September 19, 2002
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Abstract:
It is determined which solenoids admit 2-argument continuous means.
References:
-
- 1.
- P. Bacon, Unicoherence in means, Colloq. Math. 21 (1970), 211-215. MR 41:9230
- 2.
- J. J. Charatonik, Some problems concerning means on topological spaces, Topology, Measures and Fractals (C. Bandt, J. Flachsmayer and H. Haase, eds.), Mathematical Research, vol. 66, Akademie Verlag, Berlin 1992, 166-177. MR 94d:54043
- 3.
- J. J. Charatonik, W. J. Charatonik, K. Omiljanowski and J. R. Prajs, Hyperspace retractions for curves, Dissertationes Math. (Rozprawy Mat.) 370 (1997), 1-34. MR 98j:54061
- 4.
- B. Eckmann, Räume mit Mittelbildungen, Comment. Math. Helv. 28 (1954), 329-340. MR 16:503g
- 5.
- A. Illanes, The Buckethandle continuum admits no mean, preprint.
- 6.
- A. Illanes and S. B. Nadler, Jr., Hyperspaces, Marcel Dekker, Inc., New York 1999. MR 99m:54006
- 7.
- K. Kawamura and E. D. Tymchatyn, Continua which admit no mean, Colloq. Math. 71 (1996), 97-105. MR 97i:54045
- 8.
- W. Scheffer, Maps between topological groups that are homotopic to homomorphisms, Proc. Amer. Math. Soc. 33 (1972), 562-567. MR 46:288
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Additional Information:
Pawel
Krupski
Affiliation:
Mathematical Institute, University of Wroclaw, Pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland -- and -- Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, 04510 México, D. F., México
Email:
krupski@math.uni.wroc.pl
DOI:
10.1090/S0002-9939-02-06738-2
PII:
S 0002-9939(02)06738-2
Keywords:
Mean,
solenoid
Received by editor(s):
April 2, 2001
Received by editor(s) in revised form:
January 14, 2002
Posted:
September 19, 2002
Additional Notes:
The paper was written during the author's visit to the Instituto de Matemáticas, Universidad Nacional Autónoma de México in 2000-2001
Communicated by:
Alan Dow
Copyright of article:
Copyright
2002,
American Mathematical Society
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