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Combined display of all available logs of Queer Beagle Wiki. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 22:50, 21 May 2023 Kfagerstrom talk contribs created page Category:Point-Set Topology (Created page with "871 material")
• 21:18, 21 May 2023 Kfagerstrom talk contribs created page Quotients (Topology) (Created page with "The quotient of $$X$$ with respect to $$∼$$, $$X/∼$$ denotes the set of equivalence classes The function $$q:X → X/∼$$ defined by $$q(p) := [p]$$ for all $$p ∈ X$$...")
• 20:59, 21 May 2023 Kfagerstrom talk contribs created page Path Connected (Created page with "Definition: A space $$X$$ is path-connected, or PC, if for all $$p,q ∈ X$$, there is a continuous function $$f: I → X $$ such that $$f(0) = p$$ and $$f(1) = q$$ (that is,...")
• 20:46, 21 May 2023 Kfagerstrom talk contribs created page Topology Qualifying Syllabus (Created page with "==Point-set Topology:== ===Topological spaces and continuous functions:=== Topology, open and closed sets, basis, subbasis; continuous function, homeomorphism; closure, limit...")
• 16:06, 26 April 2023 Kfagerstrom talk contribs created page Category:Group Theory (Created page with "A Group is set with two binary operations")
• 22:26, 25 March 2023 Kfagerstrom talk contribs created page Jordan Canonical Form (Created page with "$F$ field, $V$ finite dim vector space, $V\xrightarrow{t} V$ linear transforamtion. Assume that the charateristic polynomial of $t$ compleately factor into linear forms (so th...")
• 18:03, 10 March 2023 Kfagerstrom talk contribs created page Cayley-Hamilton Theorem (Created page with "Let <math>F</math> be a field, and let <math>V</math> be a finite dimensional <math>F</math>-vector space. If <math>t : V → V</math> is a linear transformation, then <math>m...")
• 21:41, 9 March 2023 Kfagerstrom talk contribs created page Uniqueness of Rank of Free Modules Over Commutative Rings (Created page with "Let <math>R</math> be a commutative ring with <math>1 \ne 0</math> and let M be a free R-module. If A and B are both bases for M, then A and B have the same cardinality, meani...")
• 22:16, 8 March 2023 Kfagerstrom talk contribs created page Category:Free Modules (Created page with "An <math>R</math>-module <math>M</math> is a '''free''' <math>R</math>-module if <math>M</math> has a basis.")
• 22:08, 8 March 2023 Kfagerstrom talk contribs created page Category:Modules (Created page with "Let <math>R</math> be a ring with <math>1\neq0</math>. A ''Left'' <math>R</math>-mod is an abelian group <math>(M,+)</math> together with an action of <math>R</math> on <mat...")
• 22:07, 8 March 2023 Kfagerstrom talk contribs created page Category (Created page with "Let <math>R</math> be a ring with <math>1\neq0</math>. A ''Left'' <math>R</math>-mod is an abelian group <math>(M,+)</math> together with an action of <math>R</math> on <mat...")
• 17:17, 8 March 2023 Kfagerstrom talk contribs created page UMP for Free Modules (Created page with "UMP for free modules Let <math>R</math> be a ring, <math>M</math> a free <math>R</math>-module with basis <math>B</math>, <math>N</math> an <math>R</math>-module, <math>j:B\...")
• 05:54, 8 March 2023 Kfagerstrom talk contribs created page Free Modules (Created page with " '''Definition:''' A subset A of an R-module M is a basis of M if A is linearly independent and generates M. An R-module M is a '''free''' R-module if M has a basis.")
• 01:30, 8 March 2023 Kfagerstrom talk contribs created page Modules (Created page with "Definition and examples: matrices, free modules, and bases over arbitrary commutative rings, Structure Theorem for finitely generated modules over PIDs, applications to linear...")
• 01:14, 8 March 2023 Kfagerstrom talk contribs created page Category:Ring Theory (Created page with "Topics on the qual: Definition and examples, homomorphisms, ideals, quotients, integral domains and their fields of fractions, maximal and prime ideals.")
• 01:11, 8 March 2023 Kfagerstrom talk contribs created page Isomorphism Theorems (Created page with " Category: Group Theory")
• 01:03, 8 March 2023 Kfagerstrom talk contribs created page Algebra Qualifying Syllabus (Created page with "'''Group Theory:''' Groups, subgroups, homomorphisms, cosets, quotients, isomorphism theorems, direct and semidirect products, solvable groups, structure of cyclic, symmetric...")
• 20:45, 17 January 2023 Kfagerstrom talk contribs created page Integral Domains (Created page with ":''return to Algebra main page")
• 20:41, 17 January 2023 Kfagerstrom talk contribs created page Prime Ideals (Created page with ":''return to Algebra main page")
• 20:39, 17 January 2023 Kfagerstrom talk contribs created page Semi-Direct Product (Created page with ":''return to Algebra main page")
• 20:25, 17 January 2023 Kfagerstrom talk contribs created page 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...")
• 19:49, 17 January 2023 Kfagerstrom talk contribs created page 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...")
• 07:17, 12 January 2023 Kfagerstrom talk contribs created page 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...")
• 03:09, 8 December 2022 Kfagerstrom talk contribs created page Field (Created page with " A ring <math>R </math> is a ''field'' if every nonzero element is a unit. Thus field implies domain.")
• 23:34, 7 December 2022 Kfagerstrom talk contribs created page 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...")
• 21:25, 7 December 2022 Kfagerstrom talk contribs created page 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>.")
• 19:51, 7 December 2022 Kfagerstrom talk contribs created page 825 - Analysis (Created page with " ===Sequences=== ===Completeness Axioms=== ===Functional Limits=== ===Compactness=== ====Sequential Compactness==== ===Differentiation=== ====Darboux==== :''see also'' [...")
• 19:05, 7 December 2022 Kfagerstrom talk contribs created page Compact (Created page with " (EVT = Extreme Value Theorem):")
• 19:04, 7 December 2022 Kfagerstrom talk contribs created page 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...")
• 17:02, 7 December 2022 Kfagerstrom talk contribs created page 871 - Topology (Created page with " ==Homeomorphism Invariants== ===Metrizability=== ===Connectedness=== ===Path Connected=== ===Compactness=== ===<math>Separation Properties </math>=== ====<math>T_1 </m...")
• 02:37, 7 December 2022 Kfagerstrom talk contribs created page 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>")
• 02:25, 7 December 2022 Kfagerstrom talk contribs created page 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 Kfagerstrom talk contribs created page Fall 2022 Classes (Created page with "==Course list == 817 - Algebra 871 - Topology 825 - Analysis")
• 21:35, 6 December 2022 User account Kfagerstrom talk contribs was created