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Kan spectra provide a combinatorial model for the stable homotopy category. They were introduced by Dan Kan in 1963 under the name semisimplicial spectra. A Kan spectrum is similar to a pointed simplicial set, but it has simplices in negative degrees as we ...
This thesis is part of a program initiated by Riehl and Verity to study the category theory of (infinity,1)-categories in a model-independent way. They showed that most models of (infinity,1)-categories form an infinity-cosmos K, which is essentially a cat ...
[Context] IT modelers create models to communicate their conceptualization of an organization and to facilitate the collaboration between business and IT people. The story they convey in their models is how the corporate IT systems fulfill the business peo ...
EPFL2016
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This article aims to uncover the role of Design Thinking in the innovation processes of large companies. We propose Design Thinking as a means of fostering innovation by enabling the development of Absorptive Capacity. Thanks to its procedural and collabor ...
Let K be a comonad on a model category M. We provide conditions under which the associated category of K-coalgebras admits a model category structure such that the forgetful functor to M creates both cofibrations and weak equivalences. We provide concrete ...
We prove existence results à la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We further develop the notions of fibrant generation and Postnikov presentation fro ...
The paper discusses a framework for managing and evaluating ICT-enabled service portfolios along the service design phase. The framework adopts a service reuse perspective and it is made up of i) a model for the representation of a repository of services, ...
We prove existence results a la Jeff Smith for left-induced model category structures, of which the injective model structure on a diagram category is an important example. We further develop the notions of fibrant generation and Postnikov presentation fro ...
Amer Mathematical Soc2015
We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we can use this classification to understand ring spectra and module spectra v ...
Geometry & Topology Publications2017
Consider a fibration sequence of topological spaces which is preserved as such by some functor , so that is again a fibration sequence. Pull the fibration back along an arbitrary map into the base space. Does the pullback fibration enjoy the same property? ...
