Model structures on exact categories
J Gillespie - Journal of Pure and Applied Algebra, 2011 - Elsevier
We define model structures on exact categories, which we call exact model structures. We
look at the relationship between these model structures and cotorsion pairs on the exact …
look at the relationship between these model structures and cotorsion pairs on the exact …
[图书][B] A handbook of model categories
S Balchin - 2021 - Springer
The idea for this book was conceptualized during a research visit to Macquarie University in
the summer of 2017. At first, I was interested in collecting exotic examples of model …
the summer of 2017. At first, I was interested in collecting exotic examples of model …
The homotopy category of -complexes is a homotopy category
J Gillespie - Journal of Homotopy and Related Structures, 2015 - Springer
We show that the category of N N-complexes has a Strøm model structure, meaning the
weak equivalences are the chain homotopy equivalences. This generalizes the analogous …
weak equivalences are the chain homotopy equivalences. This generalizes the analogous …
Derived categories of (one-sided) exact categories and their localizations
R Henrard, AC van Roosmalen - arXiv preprint arXiv:1903.12647, 2019 - arxiv.org
We consider the quotient of an exact or one-sided exact category $\mathcal {E} $ by a so-
called percolating subcategory $\mathcal {A} $. For exact categories, such a quotient is …
called percolating subcategory $\mathcal {A} $. For exact categories, such a quotient is …
[图书][B] Fiber Bundles and Homotopy
D Tamaki - 2021 - World Scientific
The concept of fiber bundles is one of the most important tools in modern geometry.
Especially, in differential geometry, geometric structures on manifolds are usually described …
Especially, in differential geometry, geometric structures on manifolds are usually described …
The Hurewicz model structure on simplicial -modules
AN Ngompé - arXiv preprint arXiv:2307.13866, 2023 - arxiv.org
By a theorem of Christensen and Hovey, the category of non-negatively graded chain
complexes has a model structure, called the h-model structure or Hurewicz model structure …
complexes has a model structure, called the h-model structure or Hurewicz model structure …
[PDF][PDF] Homotopıa propia simplicial I
JMG Calcines, LJH Paricio… - REAL ACADEMIA DE …, 1998 - zaguan.unizar.es
The notion of exterior space consists of a topological space together with a certain nonempty
family of open subsets that is thought of as a 'system of open neighborhoods at infinity'. An …
family of open subsets that is thought of as a 'system of open neighborhoods at infinity'. An …
[PDF][PDF] Closed model category structures on abelian categories
T Pirashvili - Bull. Ac. Sc. Georgian SSR, 1986 - researchgate.net
Bull. Ac. Sc. Georgian SSR,124, 205-208 (1986) CLOSED MODEL CATEGORY STRUCTURES
ON ABELIAN CATEGORIES By T. PIRASHVILI We establ Page 1 Bull. Ac. Sc. Georgian …
ON ABELIAN CATEGORIES By T. PIRASHVILI We establ Page 1 Bull. Ac. Sc. Georgian …
Chain Complexes
S Balchin, S Balchin - A Handbook of Model Categories, 2021 - Springer
In this chapter, we will be concerned with the homotopy theory of bounded and unbounded
chain complexes valued in a suitable abelian category A A. As remarked in the introduction …
chain complexes valued in a suitable abelian category A A. As remarked in the introduction …
Cylindrical model structures
R Williamson - arXiv preprint arXiv:1304.0867, 2013 - arxiv.org
Cylindrical Model Structures Page 1 Cylindrical Model Structures Richard Williamson arXiv:1304.0867v2
[math.CT] 23 Apr 2016 Page 2 Dedicated to Kari Chard Page 3 Abstract We build a model …
[math.CT] 23 Apr 2016 Page 2 Dedicated to Kari Chard Page 3 Abstract We build a model …