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Month: November 2018

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Algebraic general topology Category theory Filters General Topology

Removed some sections from my draft

By Victor Porton
On November 29, 2018

I removed from my draft sections about “categories under Rel”. The removal happened because I developed a more general and more beautiful theory. The old version is preserved in Git history.

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Algebraic general topology Category theory Filters General Topology Pointfree topology

Restricted identity axioms changed

By Victor Porton
On November 29, 2018

I announced that I have introduces axioms for “restricted identities”, a structure on a category which allows to turn the category into a semigroup (abstracting away objects). But I noticed that these axioms do not fit into concrete examples which I am…

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Filters

“Unfixed filters” rewritten

By Victor Porton
On November 27, 2018

“Unfixed filter” section of my book was rewritten for more general lattices instead of old version with a certain lattice of sets.

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Algebraic general topology Category theory General Topology

Categories with restricted identities

By Victor Porton
On November 22, 2018

In this draft (to be moved into the online book in the future, but the draft is nearing finishing this topic, not including functors between categories with restricted identities) I described axioms and properties of categories with restricted identities. Basically, a category…

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  • SCIENCE
  • Home
  • Algebraic General Topology
  • Axiomatic Theory of Formulas
  • Discontinuous Analysis
  • More
  • Prize
  • SCIENCE
    • Journal with post-moderation
    • World Science DAO
  • Home
    • Blog
    • Soft
  • Algebraic General Topology
    • Paperback
    • Ebook
    • PDF
  • Axiomatic Theory of Formulas
    • Paperback
    • Ebook
    • PDF
  • Discontinuous Analysis
    • Full Course
  • More
    • Donate
    • Review
    • Publish
    • Politics
  • Prize