Background of several open problems I stumbled upon

This lists some problem aroused while I wrote my book “Algebraic General Topology. Volume 1”.

The draft of the book is now \\hrefhttp://www.mathematics21.org/algebraic-general-topology.htmlavailable online.

Please first read the book and then collaborate with me in solving the below listed problems.

Theorems to prove:

•
Intersection with a staroid product through its upper sets.
•
Intersecting two staroidal products.
•
Multifuncoid has atomic arguments.
•
Every regular paratopological group is Tychonoff.

More related materials:

•
Direct products in a category of funcoids.
•
Compact funcoids.
•
Meta-singular numbers.

See the right sidebar of this page (”Attached articles”) for the list of problems.

TODO: More information should be put to this page.

See also \\hrefhttp://researchtrends.wikia.com/wiki/Cartesian_closed_categories_containing_Top_and_Prox_as_subcategoriesthis page. Depsite of the fact that this page is written by me, I can’t remember whether that page notation is compatible with the notation in my book. Please analyse it and make its copy on PlanetMath.

单词	BackgroundOfSeveralOpenProblemsIStumbledUpon
释义	Background of several open problems I stumbled upon This lists some problem aroused while I wrote my book “Algebraic General Topology. Volume 1”. The draft of the book is now \\hrefhttp://www.mathematics21.org/algebraic-general-topology.htmlavailable online. Please first read the book and then collaborate with me in solving the below listed problems. Theorems to prove: • Intersection with a staroid product through its upper sets. • Intersecting two staroidal products. • Multifuncoid has atomic arguments. • Every regular paratopological group is Tychonoff. More related materials: • Direct products in a category of funcoids. • Compact funcoids. • Meta-singular numbers. See the right sidebar of this page (”Attached articles”) for the list of problems. TODO: More information should be put to this page. See also \\hrefhttp://researchtrends.wikia.com/wiki/Cartesian_closed_categories_containing_Top_and_Prox_as_subcategoriesthis page. Depsite of the fact that this page is written by me, I can’t remember whether that page notation is compatible with the notation in my book. Please analyse it and make its copy on PlanetMath.
随便看	multidimensional arithmetic progression MultidimensionalChebyshevsInequality Multidimensional Chebyshev’s inequality MultidimensionalGaussianIntegral multidimensional Gaussian integral MultifuncoidHasAtomicArguments Multifuncoid has atomic arguments Multifunction multifunction MultigradeOperator multigrade operator Multigraph multigraph MultiindexDerivativeOfAPower multi-index derivative of a power MultiindexNotation multi-index notation Multilinear multi-linear MultinomialDistribution multinomial distribution MultinomialTheorem multinomial theorem MultinomialTheoremproof multinomial theorem (proof)