Download Cubical Homotopy Theory (New Mathematical Monographs) by Brian A. Munson,Ismar Volić PDF

By Brian A. Munson,Ismar Volić

Graduate scholars and researchers alike will make the most of this remedy of classical and sleek themes in homotopy idea of topological areas with an emphasis on cubical diagrams. The publication comprises three hundred examples and offers specified causes of many primary effects. half I specializes in foundational fabric on homotopy idea, considered during the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers–Massey Theorem. half II incorporates a short example-driven creation to different types, limits and colimits, an obtainable account of homotopy limits and colimits of diagrams of areas, and a remedy of cosimplicial areas. The booklet finishes with functions to a few intriguing new issues that use cubical diagrams: an outline of 2 types of calculus of functors and an account of contemporary advancements within the examine of the topology of areas of knots.

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