Project Sherlock

Mathematics · Topology

Homotopy Theory

A topic within Topology, itself one of 11 topics in that field and part of Mathematics.

Reading on Homotopy Theory

2

2 works

Paper1949

Combinatorial Homotopy. I

J. H. C. Whitehead

Introduces CW complexes as the right combinatorial setting for homotopy theory, arguing that cellular attachment, not simplicial rigidity, is what makes a space's homotopy type computable.

link checked 17 Sept 2026
Book1999

A Concise Course in Algebraic Topology

J. Peter May

Takes the categorical and homotopy-theoretic viewpoint as primary, building singular homology from CW complexes and cellular approximation rather than from simplices, arguing this order better reflects the subject's structure.

link checked 17 Sept 2026

Other topics in Topology