Mixing model structures

By Michael Cole. 2006

67 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8139c44aa5d8f6bd012268c8d204c9ef6c6b46ac

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In Mathematical Physics

Citations in the corpus

Units of ring spectra and Thom spectra (2008, methodology): “For U/BG, we use the m-model structure considered in [MS06] based on work of Cole on mixed model structures [Cole06].”
More Concise Algebraic Topology: Localization, Completion, and Model Categories (2012, methodology): “We give the basic theorems and several elaborations, all adapted from [31].”
Six model structures for DG-modules over DGAs: model category theory in homological action (2013, background): “Christensen and Hovey [8], Cole [12], and Schwänzl and Vogt [38] all noticed the h-model structure on MR around the year 2000.”
Categorical Homotopy Theory (2014, methodology): “This observation was originally made by Michael Cole [Col06].”
Comparing composites of left and right derived functors (2007, background): “it is shown that there is a “Hurewicz” or h-model structure constructed from homotopy equivalences, Hurewicz ﬁbrations, and Hurewicz coﬁbrations (see also [SV02], [MS06, Ch. 4], and [Col06a]). And in [Col06b] it is shown that there is also a “mixed” or m-model structure constructed from weak homotop”
Parametrized homotopy theory (2004, background): “Recently, Cole [23] discovered a profound new way of thinking about the dichotomy between the kinds of model structures that we have been discussing.”
Global Homotopy Theory (2018, background): “Cole’s ‘mixing theorem’ for model structures [38] allows to construct many more F -model structures on the category of orthogonal spectra.”