Algebraic topology
Munkres, Elements of algebraic topology
Lee, Introduction to topological manifolds
May, A concise course in algebraic topology
Vasiliev, Introduction to topology
tom Dieck, Algebraic topology
Munkres, Topology
Hatcher, Algebraic topology
Massey, A basic course in algebraic topology
Bredon, Topology and geometry
Spanier, Algebraic topology
Aguilar et al, Algebraic topology from a homotopical viewpoint
Switzer, Algebraic topology--homotopy and homology
Massey, Singular homology theory
Bott and Tu, Differential forms in algebraic topology
Model categories
Dwyer and Spalinski, Homotopy theory and model categories
May, More concise algebraic topology
Kamps and Porter, Abstract homotopy and simple homotopy theory
Riehl, Categorical homotopy theory
Hovey, Model categories
Hirschhorn, Model categories and their localization
Simplicial sets and objects
May, Simplicial objects in algebraic topology
Goerss and Jardine, Simplicial homotopy theory
Richter, From categories to homotopy theory
Higher categories
Cisinski, Higher categories and homotopical algebra
Land, Introduction to infinity-categories
Riehl and Verity, Elements of infinity-category theory
Simpson, Homotopy theory of higher categories
Lurie, Higher topos theory