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- 22:50, 21 May 2023 diff hist +12 N Category:Point-Set Topology Created page with "871 material" current
- 22:50, 21 May 2023 diff hist +33 Compact current
- 22:49, 21 May 2023 diff hist +2 Compact
- 22:22, 21 May 2023 diff hist +868 Compact
- 22:02, 21 May 2023 diff hist +32 Topology Qualifying Syllabus →Homeomorphism invariants: current
- 22:02, 21 May 2023 diff hist +12 871 - Topology →Separation Properties current
- 21:34, 21 May 2023 diff hist +33 Quotients (Topology) current
- 21:31, 21 May 2023 diff hist -1 Quotients (Topology)
- 21:30, 21 May 2023 diff hist +2 Quotients (Topology)
- 21:27, 21 May 2023 diff hist +42 Quotients (Topology)
- 21:22, 21 May 2023 diff hist +17 Quotients (Topology)
- 21:18, 21 May 2023 diff hist +1,768 N 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 $$p ∈ X$$..."
- 21:06, 21 May 2023 diff hist +3 Topology Qualifying Syllabus →Topological spaces and continuous functions:
- 21:05, 21 May 2023 diff hist +26 Topology Qualifying Syllabus →Point-set Topology:
- 21:03, 21 May 2023 diff hist +239 Path Connected current
- 20:59, 21 May 2023 diff hist +1,543 N 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,..."
- 20:50, 21 May 2023 diff hist +20 Topology Qualifying Syllabus →Homeomorphism invariants:
- 20:46, 21 May 2023 diff hist +1,263 N 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..."
- 16:26, 26 April 2023 diff hist +1,282 Algebra Qualifying Syllabus →Modules: current
- 16:17, 26 April 2023 diff hist -7 Algebra Qualifying Syllabus
- 16:13, 26 April 2023 diff hist +1 Fall 2022 Classes current
- 16:06, 26 April 2023 diff hist +41 N Category:Group Theory Created page with "A Group is set with two binary operations" current
- 16:03, 26 April 2023 diff hist +6 Jordan Canonical Form current
- 16:08, 14 April 2023 diff hist +24 Jordan Canonical Form
- 18:43, 26 March 2023 diff hist +148 Jordan Canonical Form
- 22:26, 25 March 2023 diff hist +576 N 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..."
- 22:10, 25 March 2023 diff hist 0 Modules current
- 18:20, 10 March 2023 diff hist +973 Cayley-Hamilton Theorem current
- 18:12, 10 March 2023 diff hist +596 Cayley-Hamilton Theorem
- 18:03, 10 March 2023 diff hist +7 Cayley-Hamilton Theorem
- 18:03, 10 March 2023 diff hist +377 N 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..."
- 18:01, 10 March 2023 diff hist +68 Algebra Qualifying Syllabus
- 21:56, 9 March 2023 diff hist +59 UMP for Free Modules current
- 21:50, 9 March 2023 diff hist +66 Uniqueness of Rank of Free Modules Over Commutative Rings current
- 21:41, 9 March 2023 diff hist +229 N 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..."
- 21:38, 9 March 2023 diff hist +73 Free Modules current
- 21:33, 9 March 2023 diff hist +2 Free Modules
- 22:16, 8 March 2023 diff hist +108 N 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." current
- 22:08, 8 March 2023 diff hist +391 N 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..." current
- 22:07, 8 March 2023 diff hist 0 UMP for Free Modules
- 22:07, 8 March 2023 diff hist +391 N 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..." current
- 22:04, 8 March 2023 diff hist +22 UMP for Free Modules →UMP for Free Modules
- 18:47, 8 March 2023 diff hist +237 UMP for Free Modules
- 17:23, 8 March 2023 diff hist +866 UMP for Free Modules
- 17:18, 8 March 2023 diff hist +107 Free Modules
- 17:17, 8 March 2023 diff hist +457 N 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\..."
- 17:15, 8 March 2023 diff hist +26 Free Modules →Theorems:
- 17:12, 8 March 2023 diff hist +857 Free Modules →Theorems:
- 16:56, 8 March 2023 diff hist +2 Free Modules
- 16:54, 8 March 2023 diff hist +485 Free Modules
