homotopy theory

== English == === Noun === homotopy theory (countable and uncountable, plural homotopy theories) (mathematics) The systematic study of the situation of maps' having a homotopy between them; the study of equivalence classes (called homotopy classes) of maps. 1988, Alex Heller, Homotopy Theories, American Mathematical Society, [1]. ==== Derived terms ==== abstract homotopy theory A¹ homotopy theory rational homotopy theory ==== Translations ==== === See also === fundamental group homotopic homotopy class homotopy group homotopy hypothesis