What does algebraic topology mean?
Definitions for algebraic topology
al·ge·bra·ic topol·o·gy
This dictionary definitions page includes all the possible meanings, example usage and translations of the word algebraic topology.
Wiktionary
algebraic topologynoun
That branch of topology that associates objects from abstract algebra to topological spaces.
Wikidata
Algebraic topology
Algebraic topology is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism, though usually most classify up to homotopy equivalence. Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible. Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group.
Numerology
Chaldean Numerology
The numerical value of algebraic topology in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of algebraic topology in Pythagorean Numerology is: 3
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"algebraic topology." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/algebraic+topology>.
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