Glossary of algebraic topology

This is a glossary of properties and concepts in algebraic topology in mathematics.

See also: glossary of topology, list of algebraic topology topics, glossary of category theory and glossary of differential geometry and topology.

As there is no glossary of homological algebra in Wikipedia right now, this glossary also includes some few concepts in homological algebra (e.g., chain homotopy); some concepts in geometric topology are also fair game. On the other hand, the items that appear in glossary of topology are generally omitted. Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory covers (or will cover) concepts in theory of model categories.