### (Theology) What is physical reality?

In this blog I write mainly about mathematics. But this time I will allow myself to write on some philosophy from biblical Christianity positions. Christ is truth, as it is clear from His own words: (John 14:6) “Jesus said to him, “I…

### A bijection from the set of funcoids to a certain subset of reloids

I have proved that there is a bijection from the set $latex \mathsf{FCD}(A;B)$ to a certain subset of $latex \mathsf{RLD}(A;B)$ (which I call funcoidal reloids). See section (currently numbered 8.4) “Funcoidal reloids” in the preprint of my book.

### “Funcoidal” reloids, a new research idea

Just today I’ve got the idea of the below conjecture: Definition I call funcoidal such reloid $latex \nu$ that \$latex \mathcal{X} \times^{\mathsf{RLD}} \mathcal{Y} \not\asymp \nu \Rightarrow \\ \exists \mathcal{X}’ \in \mathfrak{F}^{\mathrm{Base} ( \mathcal{X})} \setminus \{ 0 \}, \mathcal{Y}’ \in \mathfrak{F}^{\mathrm{Base} ( \mathcal{Y})}…

### Cauchy spaces and Cauchy continuity expressed through reloids

In the march of development of my theory, I have expressed many kinds of spaces (topological, proximity, uniform spaces, etc.) through funcoids and reloids subsuming their properties (such as continuity) for my algebraic operations. Now I have expressed Cauchy spaces (and some…