What is another word for algebraic topology?
Pronunciation: [ˌald͡ʒɪbɹˈe͡ɪɪk təpˈɒləd͡ʒi] (IPA) 
Algebraic topology is a branch of mathematics that studies the properties of mathematical spaces and their transformations. Some synonyms for algebraic topology include algebraic geometry, topological algebra, and homotopy theory. Algebraic geometry is the study of algebraic equations that relate to geometric shapes, while topological algebra is the application of algebraic structures to topological spaces. Homotopy theory is the study of transformations that do not change the shape of an object, but instead stretch or twist it. These various synonyms highlight the different aspects and focuses of the field of mathematics that deals with the properties of spaces and their transformations.
