Directory UMM :Journals:Journal_of_mathematics:GMJ:
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Let C be a pointed category with finite limits and finite coproducts.. As for the equivalence with the other two conditions, just observe that from the pre- vious proof it follows
Exact functors from NNO- topoi preserve free things (at least those constructed from A ∗ ) hence (1 , T ) is the free NNO-topos in the category of sets... There is a “rewrite” rule
Our central observation is that model categories are the objects of a double category whose vertical and horizontal ar- rows are left and right Quillen functors, respectively, and
In our third proof, we use Lagrange inversion to prove Lemma 4 (from which, as we have seen, Theorem 2 follows easily) by giving an explicit formula for Z ( u, y ) r that makes
chain theories (cf. There exists a functor E from the category of chain theories of the second kind into the category of simplicial abelian group spectra... 4.3. Follows
We show that every KZ- doctrine is a pseudomonad (pseudomonoid in the Gray monoid determined by an object of the Gray -category), and that the 2-categories of algebras dened
If Φ is a small class of weights we can define, as we did for J -Colim, a2-category Φ- Colim of small categories with chosen Φ-colimits, functors preserving these strictly, and
Data from student groups were examined in six categories including demographics, academic backgrounds, fi nances and employment, educational expectations and student
