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.
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