User contributions
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- 20:36, 17 January 2023 diff hist -26 817 - Algebra →Sylow Theory
- 20:35, 17 January 2023 diff hist +1 Principle Ideal Domains
- 20:34, 17 January 2023 diff hist +46 Principle Ideal Domains
- 20:25, 17 January 2023 diff hist +933 N Principle Ideal Domains Created page with "A ''Principal Ideal Domain'' (PID) is a domain, <math>R</math> with the property that every ideal is principal, i.e., for each ideal <math>I</math>, we have <math>I = (a) </ma..."
- 20:01, 17 January 2023 diff hist +1,015 817 - Algebra →Named Rings
- 19:49, 17 January 2023 diff hist +475 N Integral Domain Created page with "An 'Integral Domain', often just called domain, is a commutative ring <math>R </math>, with <math>1\neq 0 </math> and has no zero divisors. Any unital subring of an integral..." current
- 15:50, 16 January 2023 diff hist +433 Sylow Theory →Sylow Theorem 1 (Existence)
- 15:41, 16 January 2023 diff hist -1 817 - Algebra →Sylow Theory
- 15:03, 16 January 2023 diff hist +589 817 - Algebra →Sylow Theory
- 14:58, 16 January 2023 diff hist +28 817 - Algebra →Groups
- 07:17, 12 January 2023 diff hist +469 N Metrizability Created page with " A topological space <math> (X,\mathcal{T}_X) </math> is metrizable if there is a metric <math>d </math> on <math> X</math> such that <math>\mathcal{T}_X = \mathcal{T}_d </mat..." current
- 19:14, 7 January 2023 diff hist +2 871 - Topology →Metrizability
- 19:11, 7 January 2023 diff hist +500 871 - Topology →Metrizability
- 17:57, 14 December 2022 diff hist +198 825 - Analysis →Completeness Axioms current
- 23:16, 11 December 2022 diff hist +8 m Semi-Direct Products current
- 23:14, 11 December 2022 diff hist 0 Semi-Direct Products
- 23:12, 11 December 2022 diff hist +251 Semi-Direct Products
- 03:09, 8 December 2022 diff hist +122 N Field Created page with " A ring <math>R </math> is a ''field'' if every nonzero element is a unit. Thus field implies domain." current
- 23:35, 7 December 2022 diff hist +6 Semi-Direct Products
- 23:34, 7 December 2022 diff hist +345 N Semi-Direct Products Created page with " Let <math>H </math> and <math> K</math> be groups and let <math>\rho:K\to \Aut(H) </math> be a homomorphism. The (external) semidirect product induced by <math>\rho </math> i..."
- 23:05, 7 December 2022 diff hist +77 817 - Algebra
- 21:25, 7 December 2022 diff hist +172 N Sequences (Analysis) Created page with " ===Bolzano-Weirstrass Theorem=== If <math> \{a_n\}\sube \R</math> is a bounded sequence, there exists a convergent subsequence <math> \{a_{n_k}\} \sube \{a_n\} </math>." current
- 20:49, 7 December 2022 diff hist -18 871 - Topology →Homeomorphism Invariants
- 20:19, 7 December 2022 diff hist +18 871 - Topology
- 20:02, 7 December 2022 diff hist +409 825 - Analysis →Sequences
- 19:51, 7 December 2022 diff hist +802 N 825 - Analysis Created page with " ===Sequences=== ===Completeness Axioms=== ===Functional Limits=== ===Compactness=== ====Sequential Compactness==== ===Differentiation=== ====Darboux==== :''see also'' [..."
- 19:36, 7 December 2022 diff hist +19 Compact
- 19:06, 7 December 2022 diff hist +1 Compact
- 19:06, 7 December 2022 diff hist +181 Compact
- 19:05, 7 December 2022 diff hist +31 N Compact Created page with " (EVT = Extreme Value Theorem):"
- 19:05, 7 December 2022 diff hist +27 871 - Topology →Compactness
- 19:04, 7 December 2022 diff hist +588 N T2 (Hausdorff) Created page with " Every compact subspace of a Hausdorff space is closed. That is, if <math>Y</math> is a compact subspace of a <math>T_2</math> space <math>X</math>, then <math>Y</math> i..." current
- 18:53, 7 December 2022 diff hist -10 871 - Topology →T_2 (Hausdorff)
- 18:52, 7 December 2022 diff hist +14 871 - Topology →T_2 (Hausdorff)
- 18:48, 7 December 2022 diff hist -18 871 - Topology →T_2 (Hausdorff)
- 18:48, 7 December 2022 diff hist -29 871 - Topology →T_2 (Hausdorff)
- 18:46, 7 December 2022 diff hist +40 871 - Topology →T_2 (Hausdorff)
- 18:45, 7 December 2022 diff hist +75 871 - Topology
- 17:02, 7 December 2022 diff hist -13 871 - Topology →Separation Properties
- 17:02, 7 December 2022 diff hist +1,083 N 871 - Topology Created page with " ==Homeomorphism Invariants== ===Metrizability=== ===Connectedness=== ===Path Connected=== ===Compactness=== ===<math>Separation Properties </math>=== ====<math>T_1 </m..."
- 16:22, 7 December 2022 diff hist +154 817 - Algebra →Prime Ideals
- 16:09, 7 December 2022 diff hist 0 817 - Algebra →Ideals
- 16:07, 7 December 2022 diff hist +703 817 - Algebra →Ideals
- 15:48, 7 December 2022 diff hist +14 817 - Algebra →Rings
- 15:48, 7 December 2022 diff hist +395 817 - Algebra →Euclidian Domains (EDs)
- 02:46, 7 December 2022 diff hist +305 817 - Algebra →Rings
- 02:37, 7 December 2022 diff hist +155 N Sylow Theory Created page with " ====Sylow Theorem 1 (Existence) ==== If <math>p </math> is prime and <math> p^k|n </math>, then there exists <math> H<G </math> with <math>|H|=p^k</math>"
- 02:26, 7 December 2022 diff hist +4 817 - Algebra
- 02:25, 7 December 2022 diff hist +318 N 817 - Algebra Created page with "==Groups== === Theorems === ===Topics in Group Theory === ====Sylow Theory==== ====Semi-Direct Product ==== ====Quotient Groups==== ====Isomorphism Theorems ==== ==Rings..."
- 02:09, 7 December 2022 diff hist +74 N Fall 2022 Classes Created page with "==Course list == 817 - Algebra 871 - Topology 825 - Analysis"
