Filtered Filtrators and Primary Filtrators Are the Same!
In my main book Algebraic Theory of General Topology. Book 1, I did a small but dire omission: I didn’t notice that primary filtrators and filtered filtrators are the same. So, I have rewritten it with primary filtrators only instead of both. I did this quick and drafty, the updated book requires editing, but this […]
I’ve Proved Existence of Smooth Solutions of Navier-Stokes
I’ve proved existence of smooth solutions of Navier-Stokes equations. I sent this to a journal for peer review. The proof is based on my general topology research that I did before and asked ChatGPT to use it to solve Navier-Stokes. Particularly, my proof of existence of smooth solutions uses my theorem: The lim (limit) functional […]
Gemini Pro 3 claims to have solved Navier-Stokes Clay Math problem (using some my theorems proved before) – check the proof
Gemini Thinking with 3 Pro claims that it completely solved the Navier-Stokes Millennium Prize problem (using some statements that I proved before without use of AI). I post it here to claim the prize for myself to get credited, if you find Gemini’s proof to be without errors. I will also email a few dozens […]
Quick News
Some quick news:
I Found a Counterexample Against Kakeya Conjecture
Something is wrong: I found a counterexample against Kakeya conjecture in 2D (n=2): https://www.researchgate.net/publication/390465604_A_Counterexample_Against_Kakeya’s_Conjecture_for_n2 There is a long list of cited articles in the original “2D” “Some remarks on the Kakeya problem” article. So, not wonderful, if something went wrong.
Kakeya Conjecture Proof Sketch
It looks like, I found a way to prove Kakeya conjecture in R^n for arbitrary natural n. The proof uses my theory of funcoids. Here is the rough draft:
My Thoughts from Dependencies of Variables to Faster Than Light Signals
Trillions $$ Math meme token whitepaper
Trillions $$ Math meme token whitepaper $TRLN “Trillions $$ Math” is an unusual BEP-20 meme token. It features not just funny mascots but is issued in honor of a mathematical discovery, ordered semigroup actions and ordered semicategory actions (both are abbreviated as OSA). OSA (discovered very late, in 2019) are as important as group theory […]
Going from Permutation Groups to Spaces-in-General
I’ve found something interesting: Having a permutation group (in a set of permutation groups, such as the set of all (small) Euclidean spaces), we apparently can construct a space-in-general (as spaces are defined in this work): Let $latex \pi$ be a set of permutation groups $\latex G$ (on set $latex M_G$). For spaces such as […]
I forgot about theorem of Newton-Leibniz
I my book discontinuous analysis I forgot about Newton-Leibniz theorem, despite of claiming generalizing an entire Analysis I course for a discontinuous case. The answer is simple: Newton-Leibniz theorem in discontinuous analysis is simply Newton-Leibniz theorem on the space SUPER(X), where X is the base space (such as real numbers).