### A new simple proposition about generalized limits

I’ve added the following almost trivial proposition to the draft of my book “Algebraic General Topology. Volume 1”: Proposition \$latex \tau \left( y \right) = \mathrm{xlim}\, \left( \left\langle \mu \right\rangle^{\ast} \left\{ x \right\} \times^{\mathsf{FCD}} \uparrow^{\mathrm{Base}\, \left( \mathrm{dom}\, \nu \right)} \left\{ y \right\}…

### Meta-singular numbers

I’ve defined (well, vaguely defined) what I call “meta-singular numbers”. These can be used to describe values of a function in a singularity. See this PlanetMath article.

### My research plan

I ‘ve said that I take a vacation in my math research work in order to write a religious book. Unexpectedly quickly I have already finished to write and publish this book and return to my mathematical research. Now having researched enough…

### Defined limit of discontinuous functions!

In my online draft article “Convergence of funcoids” at my Algebraic General Topology site is now defined limit of arbitrary (not necessarily continuous) functions (under certain conditions). Thus mathematical analysis goes to the next stage, non-continuous analysis. Please nominate me for Abel…