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Cellular generators
KTH, Superseded Departments, Mathematics.
KTH, Superseded Departments, Mathematics.
2004 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 132, no 11, 3397-3409 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this paper is twofold. On the one hand, we show that the kernelof the Bousfield periodization functor P-A is cellularly generated by a space B, i.e., we construct a space B such that the smallest closed class C( B) containing B is exactly C( A). On the other hand, we show that the partial order (Spaces, much greater than) is a complete lattice, where B much greater than A if B is an element of C(A). Finally, as a corollary we obtain Bousfield's theorem, which states that (Spaces, >) is a complete lattice, where B > A if B is an element of.

Place, publisher, year, edition, pages
2004. Vol. 132, no 11, 3397-3409 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-23594DOI: 10.1090/S0002-9939-04-07346-0ISI: 000222815900032Scopus ID: 2-s2.0-7444252272OAI: oai:DiVA.org:kth-23594DiVA: diva2:342293
Note

QC 20100525 QC 20111101

Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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