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User contributions for InfernalAtom683

A user with 214 edits. Account created on 22 March 2026.
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10 April 2026

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  • 16:1816:18, 5 April 2026 diff hist +914 N Quotient group Created page with "A '''quotient group''' is a group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves some of the group structure. == Definitions == Let <math>G</math> be a group and <math>N\trianglelefteq G</math> a normal subgroup. === Definition via cosets === The quotient group <math>G/N</math> is the set of left cosets <math display="block">G/N:=\{gN\mid g\in G\}</math>with group operation <math>(gN)(hN):=(gh)N.</math> === Defi..." Tag: Visual edit

4 April 2026

1 April 2026

28 March 2026

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22 March 2026

  • 22:5322:53, 22 March 2026 diff hist +1,214 N Topological space Created page with "A '''topological space''' is a fundamental mathematical structure that generalizes the concept of geometrical spaces and continuity. A topological space is equipped with a collection of open sets, capturing the intuitive idea of "nearness" without necessarily defining a metric. Topological spaces are the objects of study in general topology. == Definition == An ordered pair <math>(X, \tau)</math> is a topological space on set <math>X</math>, if <math..." Tag: Visual edit
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