User:Alec

Hi, I'm the admin of this site and creator of most of the content. Write a note on my talk page for requests!

Things not to forget

• Ensure a sigma-algebra is at the forefront of the readers' minds when dealing with measures and such @ Alec (talk) 17:45, 8 April 2016 (UTC)
• Isotonic - define a special case of monotonic where the relation is facing the same way Alec (talk) 08:44, 9 April 2016 (UTC)
  1. Possibly sorted now. See Talk:Monotonic Alec (talk) 21:19, 9 April 2016 (UTC)
• User:Alec/Things not to forget/Order theory notes Alec (talk) 20:48, 9 April 2016 (UTC)
• Greater than or equal to - I made a (non-destructive) mistake in the proof, meaning my result is too concrete (as opposed to abstract). Don't forget to fix Alec (talk) 21:19, 9 April 2016 (UTC)
• Work on Ordered pair (lacks references) and
• Work on Cardinality (incomplete, not marked as stub....)
• Create some notion of urgency with regards to requiring references or proofs. Also maybe tag "low-hanging fruit" (easy proofs) so a new-comer has something they can do.
• Add that new Order Theory book.
• Bounded (ordering)
• The fundamental group of the product of a finite number of topological spaces is the product of the fundamental groups of each
  • Investigate the arbitrary and countably infinite cases. I suspect the product of groups drops to the direct sum of the groups.
• An $\epsilon$-$\delta$ form of continuity is missing.
• Partial orderings are to total orderings what partial function is to total function. That's where the partial comes from!
• Semi-ring pre-measure vs Pre-measure on a semi-ring Alec (talk) 00:31, 20 August 2016 (UTC)
• "Universal Mapping Property" = Group homomorphism theorem according to McCoy, Algebra: Groups, rings, and other topics - page 69 - Alec (talk) 20:29, 4 October 2016 (UTC)
• User:Alec/Things not to forget/Q9 wreckage

Pages being worked on

• Outer-measure @ Alec (talk) 17:45, 8 April 2016 (UTC)

Current projects

Currently ensuring that all existing measure theory articles are "up to a decent standard" and working on Measure Theory, following Halmos' example (rings).

• Notes:Halmos measure theory skeleton - notes for plan on definitions
• Site projects:Patrolling measure theory - "patrol" being the "decent standard" project.
• Site projects:Measure theory plan - implementation of plan.