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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 available 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.

Metasingular 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 this 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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Attached Articles
Intersection with a staroid product through its upper sets by porton
Intersecting two staroidal products by porton
Direct products in a category of funcoids by porton
Conjecture: Every regular paratopological group is Tychonoff by porton
Metasingular numbers by porton