User contributions for InfernalAtom683

18:5418:54, 14 May 2026 diff hist +14 Seifert-Van Kampen theorem No edit summary current
18:5218:52, 14 May 2026 diff hist −44 Seifert-Van Kampen theorem No edit summary Tag: Visual edit: Switched
15:3715:37, 14 May 2026 diff hist +1,031 N Seifert-Van Kampen theorem Created page with "== Statement == Let <math>X</math> be a topological space, and <math>U, V\subset X</math> be open sets such that <math>X = U\cup V</math>, and <math>U</math>, <math>V</math> and <math>U\cap V</math> are path-connected. Take a basepoint <math>x_0\in U\cap V</math> with inclusion maps: <math display="block">i\colon U\cap V\hookrightarrow U,\quad j\colon U\cap V\hookrightarrow V,\quad k\colon U\hookrightarrow X,\quad l\colon V\hookrightarrow X,</math> then the following d..." Tag: Visual edit: Switched

21:5721:57, 29 April 2026 diff hist +4,305 N Commutator Created page with "A '''commutator''' is an algebraic expression that measures the failure of two elements to commute. It occurs throughout abstract algebra, particularly in group theory, ring theory, and linear algebra. If two elements commute, their commutator is trivial. More generally, the commutator describes the obstruction to exchanging the order of two operations. Commutators are fundamental in the study of noncommutative structures and in the construction of i..." current

16:1116:11, 14 April 2026 diff hist +4 Compact space No edit summary current

13:5913:59, 13 April 2026 diff hist 0 Homeomorphism No edit summary current

20:2720:27, 12 April 2026 diff hist +3,048 Homeomorphism No edit summary Tag: Visual edit: Switched
14:2614:26, 12 April 2026 diff hist −1,125 Topological space No edit summary current Tag: Visual edit: Switched
14:2614:26, 12 April 2026 diff hist +1,152 Topological space No edit summary Tag: Visual edit
06:5606:56, 12 April 2026 diff hist −1 Compact space No edit summary
06:5506:55, 12 April 2026 diff hist +356 Compact space No edit summary

15:4915:49, 11 April 2026 diff hist 0 Homeomorphism No edit summary
15:4715:47, 11 April 2026 diff hist −1 Homeomorphism →Counterexamples
15:2215:22, 11 April 2026 diff hist +3 Homeomorphism →Counterexamples
15:1915:19, 11 April 2026 diff hist +106 Homeomorphism No edit summary
15:1615:16, 11 April 2026 diff hist +3 Hausdorff space No edit summary current
15:1515:15, 11 April 2026 diff hist +3 Homotopy No edit summary current Tag: Visual edit: Switched
15:1515:15, 11 April 2026 diff hist +20 Homotopy No edit summary

22:5822:58, 10 April 2026 diff hist +1,312 Category of topological spaces No edit summary current
21:3421:34, 10 April 2026 diff hist +2,113 First isomorphism theorem No edit summary current
20:5620:56, 10 April 2026 diff hist +73 First isomorphism theorem No edit summary
20:5320:53, 10 April 2026 diff hist +13 Equivalence relation No edit summary current
20:5220:52, 10 April 2026 diff hist +760 Equivalence relation No edit summary
19:0919:09, 10 April 2026 diff hist +90 Darboux integral No edit summary current Tag: Visual edit: Switched
19:0819:08, 10 April 2026 diff hist −5 Darboux integral No edit summary Tag: Visual edit
19:0719:07, 10 April 2026 diff hist +934 Darboux integral No edit summary
12:5612:56, 10 April 2026 diff hist +341 Locally Euclidean space No edit summary current

15:5015:50, 9 April 2026 diff hist +56 Darboux integral No edit summary Tag: Visual edit: Switched
15:4815:48, 9 April 2026 diff hist +127 Homotopy No edit summary Tag: Visual edit: Switched
15:3015:30, 9 April 2026 diff hist 0 Homotopy No edit summary Tag: Visual edit
15:2815:28, 9 April 2026 diff hist +71 m Quotient group No edit summary current Tag: Visual edit
15:2615:26, 9 April 2026 diff hist +470 Mathepedia:About No edit summary

11:4311:43, 6 April 2026 diff hist +289 Hausdorff space No edit summary Tag: Visual edit: Switched
11:3711:37, 6 April 2026 diff hist +484 Locally Euclidean space No edit summary Tag: Visual edit: Switched
11:2811:28, 6 April 2026 diff hist +106 Homotopy No edit summary Tag: Visual edit
11:2611:26, 6 April 2026 diff hist +236 Category of topological spaces No edit summary Tag: Visual edit

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

19:4319:43, 4 April 2026 diff hist +690 Homeomorphism No edit summary
19:3019:30, 4 April 2026 diff hist +565 Homotopy No edit summary
19:2919:29, 4 April 2026 diff hist +44 N Template:Polyglot/row InfernalAtom683 moved page Template:Polyglot/row to Template:Terminology table/row current Tag: New redirect
19:2919:29, 4 April 2026 diff hist 0 m Template:Terminology table/row InfernalAtom683 moved page Template:Polyglot/row to Template:Terminology table/row current
19:2919:29, 4 April 2026 diff hist +40 N Template:Polyglot InfernalAtom683 moved page Template:Polyglot to Template:Terminology table current Tag: New redirect
19:2919:29, 4 April 2026 diff hist 0 m Template:Terminology table InfernalAtom683 moved page Template:Polyglot to Template:Terminology table current
19:2719:27, 4 April 2026 diff hist +158 N Template:Terminology table/row Created page with "|- | '''{{{1|{{{en}}}}}}''' | {{{2|{{{fr}}}}}} | {{{3|{{{de}}}}}} | {{{4|{{{zh-cn|{{{zh-hans|}}}}}}}}} | {{{5|{{{zh-tw|{{{zh-hant|}}}}}}}}} | {{{6|{{{ja}}}}}}"
19:2719:27, 4 April 2026 diff hist +70 N Template:Terminology table Created page with "{| class="wikitable" ! en ! fr ! de ! colspan="2" | zh ! ja {{{1}}} |}"
19:1919:19, 4 April 2026 diff hist −1 First isomorphism theorem →Group theory Tag: Visual edit
19:1819:18, 4 April 2026 diff hist +898 N First isomorphism theorem Created page with "The '''first isomorphism theorem''' is a fundamental result in abstract algebra that describes the relationship between a homomorphism, its kernel, and its image. The theorem appears uniformly across algebraic structures such as groups, rings, and modules, and serves as a prototype for many structural results in algebra. Specifically, given a homeo..." Tag: Visual edit
18:1818:18, 4 April 2026 diff hist −1 Template:Main Page/Category ring No edit summary current
18:1718:17, 4 April 2026 diff hist +1 Template:Main Page/Category ring No edit summary

15:4215:42, 1 April 2026 diff hist −164 Homeomorphism →Examples Tag: Visual edit

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