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・ Algebraic Petri net
・ Algebraic Reconstruction Technique
・ Algebraic Riccati equation
・ Algebraic semantics
・ Algebraic semantics (computer science)
・ Algebraic semantics (mathematical logic)
・ Algebraic sentence
・ Algebraic signal processing
・ Algebraic solution
・ Algebraic space
・ Algebraic specification
・ Algebraic statistics
・ Algebraic structure
・ Algebraic surface
・ Algebraic theory
Algebraic topology
・ Algebraic topology (object)
・ Algebraic torus
・ Algebraic variety
・ Algebraic vector bundle
・ Algebraic-group factorisation algorithm
・ Algebraically closed field
・ Algebraically closed group
・ Algebraically compact group
・ Algebraically compact module
・ Algebrator
・ Algebris
・ Algebroid
・ Algebuckina Bridge
・ Algeciras


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Algebraic topology : ウィキペディア英語版
Algebraic topology

Algebraic topology is a branch of mathematics that 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.
==Main branches of algebraic topology==

Below are some of the main areas studied in algebraic topology:

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Algebraic topology」の詳細全文を読む



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