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A Note on Model (Co)slice Categories |
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Citation: |
Zhiwei LI.A Note on Model (Co)slice Categories[J].Chinese Annals of Mathematics B,2016,37(1):95~102 |
Page view: 3471
Net amount: 1392 |
Authors: |
Zhiwei LI; |
Foundation: |
This work was supported by Jiangsu Normal University
(No.\,JSNU12XLR025) |
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Abstract: |
There are various adjunctions between model (co)slice categories.
The author gives a proposition to characterize when these
adjunctions are Quillen equivalences. As an application, a triangle
equivalence between the stable category of a Frobenius category and
the homotopy category of a non-pointed model category is given. |
Keywords: |
Model slice categories, Homotopy categories, Quillen equivalences |
Classification: |
18A25, 18G55, 55U35, 18E30 |
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