автор: Marco Grandis

‘It is written in a pedagogical, at times discursive, style and is both mathematically rigorous and easy to read … The book has an extensive index and can serve as a reference for key definitions and …

In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown t …

We propose here a study of ‘semiexact’ and ‘homological’ categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, wh …

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The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: doub …

Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable ‘elementary spaces’, by means of partial homeomo …