The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students particularly will findthis book to be an entree to an active field of study.

Preface Gregory Arone and Michael Ching1 Goodwillie calculus David Ayala and John Francis2 A factorization homology primer Anthony Bahri, Martin Bendersky, and Frederick R. Cohen3 Polyhedral products and features of their homotopy theoryPaul Balmer4 A guide to tensor-triangular classification Tobias Barthel and Agnes Beaudry5 Chromatic structures in stable homotopy theory Mark Behrens6 Topological modular and automorphic forms Julia E. Bergner7 A survey of models for (1,n)-categories Gunnar Carlsson8 Persistent homology and applied homotopy theory Natalia Castellana9 Algebraic models in the homotopy theory of classifying spaces Ralph L. Cohen10 Floer homotopy theory, revisited Benoit Fresse11 Little discs operads, graph complexes and Grothendieck–TeichmüllergroupsSoren Galatius and Oscar Randal-Williams12 Moduli spaces of manifolds: a user’s guide13 An introduction to higher categorical algebra Moritz Groth14 A short course on 1-categories Lars Hesselholt and Thomas Nikolaus15 Topological cyclic homology Gijs Heuts16 Lie algebra models for unstable homotopy theory Michael A. Hill17 Equivariant stable homotopy theory Daniel C. Isaksen and Paul Arne Ostvar18 Motivic stable homotopy groups Tyler Lawson19 En-spectra and Dyer-Lashof operations Wolfgang Luck20 Assembly maps Nathaniel Stapleton21 Lubin-Tate theory, character theory, and power operations Kirsten Wickelgren and Ben William22 Unstable motivic homotopy theory Index