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arxiv: 1110.0605 · v2 · pith:VC6NK33Knew · submitted 2011-10-04 · 🧮 math.CT

Locally class-presentable and class-accessible categories

classification 🧮 math.CT
keywords categorieslocallyabstractaccessibleapplicationsclass-accessibleclass-presentableconcepts
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We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for applications in the abstract homotopy theory.

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  1. Homomorphisms of topological rings and change-of-scalar functors

    math.RA 2026-03 unverdicted novelty 6.0

    For left proflat topological ring epimorphisms, restriction of scalars on contramodules is fully faithful and the forgetful square is a pseudopullback.