I’ve added chapters “Cartesian closedness” and “Singularities” (from the site http://tiddlyspace.com which will be closed soon) to volume 2 draft. Both chapters are very rough draft and present not rigorous proofs but rough ideas.

read moreThe journal European Journal of Pure and Applied Mathematics has accepted my article after a peer review and asked me to send it in their LaTeX format. I had a hyperref trouble with my LaTeX file. So I’ve said them that I …

read moreI am reading the book “Convergence Foundations of Topology” by Szymon Dolecki and Frédéric Mynard. (Well, I am more skimming than reading, I may read it more carefully in the future.) After reading about a half of the book, I tried to…

read moreI (with some twist) described the set of $latex C^1$ integral curves for a given vector field in purely topological terms (well, I describe it not in terms of topological spaces, but in terms of funcoids, more abstract objects than topological spaces)….

read moreI have re-defined filter rebase. Now it is defined for arbitrary filter $latex \mathcal{A}$ on some set $latex \mathrm{Base}(\mathcal{A})$ and arbitrary set $latex A$. The new definition is: $latex \mathcal{A}\div A = \{ X\in\mathscr{P}A \mid \exists Y\in\mathcal{A}: Y\cap A\subseteq X \}$. It…

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