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AgendaAppointments, conferences, meetings, events, visits, plans, & c. & c. |
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Curriculum VitaeOnly as up-to-date as my patience will allow. Last update: August 2007 |
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On the Dreaded Right Bousfield Localization[arXiv:0708.3435] I introduce some technologies in the theory of right semimodel categories and right Bousfield localizations and present some elementary applications. In particular, I show that any tractable right semimodel category has a right Bousfield localization with respect to a set of objects, and I make use of this result to construct homotopy limits of left Quillen presheaves. |
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On Reedy Model Categories[arXiv:0708.2832] I introduce some elementary results on the structure and functoriality of Reedy model categories. I give a very useful little criterion to determine whether composition with a morphism of Reedy categories determines a left or right Quillen functor, and I use it to determine the conditions under which the Reedy model structure on diagrams valued in a symmetric monoidal model category is itself symmetric monoidal. |
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On (Enriched) Left Bousfield Localizations of Model Categories[arXiv:0708.2067] I introduce some technologies in the theory of combinatorial model categories and enriched model categories and to present some elementary applications. In particular, I give a brief but relatively complete exposition of the theory of tractable (enriched) model categories and (enriched) left Bousfield localizations, and I give a series of applications to diagram categories, section categories, homotopy limits of homotopy theories, Postnikov towers in model categories, and sheaf theory. |
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