Sentence examples for model categories and from inspiring English sources

Filters on the initial models' category page include model categories and recently-used models.

While [7] only deals with spaces and spectra, the approach has been generalized to a large class of stable and unstable model categories, and this generalization is now known as "Bousfield localization".

However, completely dispensing with model categories and developing a replacement such as (II) above from scratch would be a huge enterprise, and at present, we are not ready to do it.

In the category model, categories and objects are used to represent different knowledge structures; arrows and pullbacks are used to sketch diverse connection between objects; functors are utilized to reveal the structure-preserving mapping between categories in specification and verification.

The enhancement we suggest is based on stable model categories, and the fact that these produce enhancements has been known since at least [26], and probably goes back to Goodwillie and/or Franke (informally, it was probably known to Quillen, although since the notion of a stable model category is not in [39], his remark in [39, I, §3, Prop. 4] to this effect makes no sense).

Interviews were audio-taped and transcribed for thematic analysis using the Payback Framework and the Logic Model categories and scope notes [ 6].

Since the notions of a model category and a stable model pair are self-dual, Proposition 3.8 immediately implies an analogous statement for left comma-categories and left-derivable functors.

We give an overview of existing enhancement techniques for derived and trianguated categories based on the notion of a stable model category, and show how it can be applied to the problem of gluing triangulated categories.

It is elementary to check that (C_cdot (A_cdot )) is a stable model category, and (langle C^{pf}_cdot (A_cdot ),C_cdot (A_cdot ) rangle ) is a stable model pair in the sense of Definition 2.12.

If phonons are treated as particles in a free-gas model category and the phonon dispersion relations were not fully taken into account, there will be an approximately similar decreasing tendency of the LTC versus porosity with that of the ETC for metallic nanoporous materials.

The first model estimates category 1 (excellent) versus categories 2,., 5, the second model categories 1 and 2 (excellent and very good) versus 3,., 5 and so on.