algebraic topology
Word Rarity
Rare
Frequency: 2.89 in modern English
28
Scrabble Score
17
Letters
6
Syllables
12
Unique Chars
Meaning
noun
The branch of mathematics that uses tools from abstract algebra to study topological spaces.
Uncountable
Example Sentences
- "The basic goal of algebraic topology is to find algebraic invariants that classify topological spaces up to homeomorphism, although most usually classify up to homotopy (homeomorphism being a special case of homotopy)."
- "Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible."
- "1969, Emil Artin, Hel Braun, Introduction to Algebraic Topology, C. E. Merrill Publishing Company, Professor Emil Artin lectured on algebraic topology during the winter semester of 1959–60."
- "The material in Chapters 7 (Obstruction Theory and Eilenberg-MacLane Spaces) and 8 (Bordism, Spectra, and Generalized Homology) introduces the student to the modern perspective in algebraic topology."