Homotopy linear algebra

By homotopy linear algebra we mean the study of linear functors between slices of the ∞-category of ∞-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices into ∞-categories to model the duality between vector spaces and profinite-d...

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Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2018-04, Vol.148 (2), p.293-325
Hauptverfasser:	Gálvez-Carrillo, Imma, Kock, Joachim, Tonks, Andrew
Format:	Artikel
Sprache:	eng
Schlagworte:	15 Linear and multilinear algebra matrix theory 18 Category theory homological algebra 18G Homological algebra 37 Dynamical systems and ergodic theory 37F Complex dynamical systems 46 Associative rings and algebras 46A Topological linear spaces and related structures 55 Algebraic topology 55P Homotopy theory Algebra Algebra, Homological Algebraic topology Classificació AMS duality Homotopia, Teoria d homotopy cardinality homotopy finiteness Homotopy theory infinity-groupoids Linear algebra Matemàtiques i estadística Topologia Topologia algebraica Vector spaces Àlgebra homològica Àrees temàtiques de la UPC
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