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The model category of maps of spaces is not cofibrantly generated
Author(s):
Boris
Chorny
Journal:
Proc. Amer. Math. Soc.
131
(2003),
2255-2259.
MSC (2000):
Primary 55U35;
Secondary 55P91, 18G55
Posted:
February 11, 2003
Correction(s):
Proc. Amer. Math. Soc. 88 (1983), 689-690.
MathSciNet review:
1963775
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Abstract:
We show that the model category of diagrams of spaces generated by a proper class of orbits is not cofibrantly generated. In particular, the category of maps between spaces may be supplied with a non-cofibrantly generated model structure.
References:
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Additional Information:
Boris
Chorny
Affiliation:
Einstein Institute of Mathematics, Givat Ram, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
DOI:
10.1090/S0002-9939-03-06901-6
PII:
S 0002-9939(03)06901-6
Keywords:
Model category,
equivariant homotopy,
non-cofibrantly generated
Received by editor(s):
February 16, 2002
Posted:
February 11, 2003
Additional Notes:
The author was a fellow of the Marie Curie Training Site hosted by the Centre de Recerca Matemàtica (Barcelona), grant no. HPMT-CT-2000-00075 of the European Commission.
Communicated by:
Paul Goerss
Copyright of article:
Copyright
2003,
American Mathematical Society
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