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Cellular generators
Author(s):
Wojciech
Chachólski;
Paul-Eugene
Parent;
Donald
Stanley
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3397-3409.
MSC (2000):
Primary 55Q05
Posted:
June 16, 2004
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Abstract:
The aim of this paper is twofold. On the one hand, we show that the kernel  of the Bousfield periodization functor  is cellularly generated by a space  , i.e., we construct a space  such that the smallest closed class  containing  is exactly  . On the other hand, we show that the partial order  is a complete lattice, where  if  . Finally, as a corollary we obtain Bousfield's theorem, which states that  is a complete lattice, where  if  .
References:
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- Wojciech Chachólski, Closed classes, Algebraic topology: New trends in localization and periodicity (Sant Feliu de Guíxols, 1994), Birkhäuser, Basel, 1996, pp. 95-118. MR 97e:55007
- 5.
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 and  , Duke Math. J. 84 (1996), no. 3, 599-631. MR 97i:55023 - 6.
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Additional Information:
Wojciech
Chachólski
Affiliation:
Yale University, Department of Mathematics, 10 Hillhouse Avenue, P.O. Box 208283, New Haven, Connecticut 06520-8283
Address at time of publication:
KTH Matematik, S-10044 Stockholm, Sweden
Email:
chachols@math.yale.edu
Paul-Eugene
Parent
Affiliation:
Université catholique de Louvain, Département de mathméatiques, 2 Chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgique
Address at time of publication:
KTH Matematik, S-10044 Stockholm, Sweden
Email:
parent@agel.ucl.ac.be
Donald
Stanley
Affiliation:
University of Alberta, Department of Mathematical Sciences, 632 Central Academic Building, Edmonton, Alberta, T6G 2G1, Canada
Address at time of publication:
Department of Mathematics and Statistics, University of Regina, College West, 30714 Regina, Saskatchewan, Canada
Email:
stanley@math.ualberta.ca
DOI:
10.1090/S0002-9939-04-07346-0
PII:
S 0002-9939(04)07346-0
Received by editor(s):
November 1, 2000
Received by editor(s) in revised form:
January 1, 2001
Posted:
June 16, 2004
Additional Notes:
The first author was partially supported by the NSF grant DMS-9803766
This work has been partly supported by the Volkswagenstiftung Oberwolfach
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2004,
American Mathematical Society
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