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Month: August 2016

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Algebraic general topology Category theory General Topology Nonsmooth analysis Open problems

Two new chapters in my math draft

By Victor Porton
On August 27, 2016

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.

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Algebraic general topology General Topology Publications

My article is ignored

By Victor Porton
On August 16, 2016

The 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 …

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Algebraic general topology Filters General Topology Open problems

Common generalizations of convergences and funcoids

By Victor Porton
On August 16, 2016

I 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…

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Algebraic general topology General Topology

Sets of integral curves described in topological terms

By Victor Porton
On August 6, 2016

I (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)….

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Algebraic general topology Filters General Topology

Filter rebase generalized

By Victor Porton
On August 2, 2016

I 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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  • SCIENCE
  • Home
  • Algebraic General Topology
  • Axiomatic Theory of Formulas
  • Limit of a Discontinuous Function
  • More
  • Prize
  • SCIENCE
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Limit of a Discontinuous Function
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize