Proceedings of the American Mathematical Society

Author(s): Vigleik Angeltveit
Journal: Proc. Amer. Math. Soc. 136 (2008), 2323-2332.
MSC (2000): Primary 18G55
Posted: February 28, 2008
Retrieve article in: PDF DVI PostScript

Abstract: We define the notion of an enriched Reedy category and show that if $\mathcal{A}$ is a $\mathcal{C}$ -Reedy category for some symmetric monoidal model category $\mathcal{C}$ and $\mathcal{M}$ is a $\mathcal{C}$ -model category, the category of $\mathcal{C}$ -functors and $\mathcal{C}$ -natural transformations from $\mathcal{A}$ to $\mathcal{M}$ is again a model category.

1.: Vigleik Angeltveit, The cyclic bar construction on ${A}_\infty$ H-spaces, preprint, math.AT/0612165.
2.: -, Topological Hochschild homology and cohomology of ${A}_\infty$ ring spectra, preprint, math.AT/0612164.
3.: A. K. Bousfield, Homotopy spectral sequences and obstructions, Israel J. Math. 66 (1989), no. 1-3, 54-104. MR 1017155 (91a:55027)
4.: Philip S. Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol. 99, American Mathematical Society, Providence, RI, 2003. MR 1944041 (2003j:18018)
5.: Mark Hovey, Model categories, Mathematical Surveys and Monographs, vol. 63, American Mathematical Society, Providence, RI, 1999. MR 1650134 (99h:55031)
6.: G. M. Kelly, Basic concepts of enriched category theory, Repr. Theory Appl. Categ. (2005), no. 10, vi+137 pp. (electronic), Reprint of the 1982 original [Cambridge Univ. Press, Cambridge; MR0651714]. MR 2177301
7.: T. Pirashvili and B. Richter, Hochschild and cyclic homology via functor homology, -Theory 25 (2002), no. 1, 39-49. MR 1899698 (2003c:16011)
8.: James Dillon Stasheff, Homotopy associativity of -spaces. I, II, Trans. Amer. Math. Soc. 108 (1963), 275-292; ibid. 108 (1963), 293-312. MR 0158400 (28:1623)

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 18G55

Vigleik Angeltveit
Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
Email: vigleik@math.uchicago.edu

DOI: 10.1090/S0002-9939-08-09185-5
PII: S 0002-9939(08)09185-5
Received by editor(s): March 15, 2007,
Received by editor(s) in revised form: April 9, 2007
Posted: February 28, 2008
Additional Notes: This research was partially conducted during the period the author was employed by the Clay Mathematics Institute as a Liftoff Fellow
Communicated by: Paul Goerss
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2008, American Mathematical Society Privacy Statement		Search the AMS