You are here
HomeBackground of several open problems I stumbled upon
Primary tabs
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.
Mathematics Subject Classification
54J05 no label found54A05 no label found54D99 no label found54E05 no label found54E17 no label found54E99 no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
Recent Activity
new question: Prove that for any sets A, B, and C, An(BUC)=(AnB)U(AnC) by St_Louis
Apr 20
new image: informationtheoreticdistributedmeasurementdds.png by rspuzio
new image: informationtheoreticdistributedmeasurement4.2 by rspuzio
new image: informationtheoreticdistributedmeasurement4.1 by rspuzio
new image: informationtheoreticdistributedmeasurement3.2 by rspuzio
new image: informationtheoreticdistributedmeasurement3.1 by rspuzio
new image: informationtheoreticdistributedmeasurement2.1 by rspuzio
Apr 19
new collection: On the InformationTheoretic Structure of Distributed Measurements by rspuzio
Apr 15
new question: Prove a formula is part of the Gentzen System by LadyAnne
Mar 30
new question: A problem about Euler's totient function by mbhatia
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