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Tag: partial order

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Category theory Open problems

A conjecture about product order and logic

By Victor Porton
On January 12, 2016

The considerations below were with an error, see the comment. Product order $latex {\prod \mathfrak{A}}&fg=000000$ of posets $latex {\mathfrak{A}_i}&fg=000000$ (for $latex {i \in n}&fg=000000$ where $latex {n}&fg=000000$ is some index subset) is defined by the formula $latex {a \leq b \Leftrightarrow \forall…

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#order theory#partial order
Filters General Topology Open problems

Questions about orderings of filters and ultrafilters

By Victor Porton
On January 24, 2011

I asked on MathOverflow several questions about ordering of filters and ultrafilters. Your participation in this research is welcome.

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#order#partial order#poset#preorder#ultrafilter
Filters

Intersecting elements of posets without least element

By Victor Porton
On January 14, 2011

From the preprint of my article “Filters on Posets and Generalizations” (with little rewording): Definition 1. Let $latex \mathfrak{A}$ is a poset with least element $latex 0$. I will call elements $latex a$, $latex b$ in $latex \mathfrak{A}$ intersecting when exists c…

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#partial order#partially ordered set#poset#posets
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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
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    • Politics
  • Prize