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Tag: poset

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Algebraic general topology General Topology

Partial order funcoids and reloids

By Victor Porton
On July 5, 2013

Partial order funcoids and reloids formalize such things as “infinitely small” step rotating a circle counter-clockwise. This is “locally” a partial order as every two nearby “small” sets (where we can define “small” for example as having the diameter (measuring along the…

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#parital order#partial orders#poset#posets
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
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  • Algebraic General Topology
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  • 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
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