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Between the Lindelöf property and countable tightness
Author(s):
R.
Frankiewicz;
G.
Plebanek;
C.
Ryll-Nardzewski
Journal:
Proc. Amer. Math. Soc.
129
(2001),
97-103.
MSC (2000):
Primary 46E15, 46E27, 54C35
Posted:
June 21, 2000
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Abstract:
We consider a class of compact spaces for which the space of probability Radon measures on has countable tightness in the topology. We show that that class contains those compact zero-dimensional spaces for which is weakly Lindelöf, and, under MA + CH, all compact spaces with having property (C) of Corson.
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Additional Information:
R.
Frankiewicz
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland
Email:
rf@impan.gov.pl
G.
Plebanek
Affiliation:
Institute of Mathematics, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wro- claw, Poland
Email:
grzes@math.uni.wroc.pl
C.
Ryll-Nardzewski
Affiliation:
Institute of Mathematics, Wroclaw Technical University and Institute of Mathematics, Polish Academy of Sciences, ul. Kopernika 18, 51-617 Wroclaw, Poland
Email:
crn@graf.im.pwr.wroc.pl
DOI:
10.1090/S0002-9939-00-05489-7
PII:
S 0002-9939(00)05489-7
Received by editor(s):
July 22, 1998
Received by editor(s) in revised form:
March 8, 1999
Posted:
June 21, 2000
Additional Notes:
This research was partially supported by KBN grant 2P03A 018 13.
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2000,
American Mathematical Society
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