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Month: August 2012

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Algebraic general topology General Topology Pointfree topology

A change in terminology: multifuncoid -> staroid

By Victor Porton
On August 31, 2012

I’ve made a change in terminology in my draft article Multidimensional funcoids: multifuncoid → staroid. I now use the term “multifuncoid” in an other sense. I made the change of the terminology in order for the meaning of the term “multifuncoid” to…

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Algebraic general topology General Topology Open problems

A conjecture related with subatomic product

By Victor Porton
On August 29, 2012

With subatomic products first mentioned here and described in this article are related the following conjecture (or being precise three conjectures): Conjecture For every funcoid $latex f: \prod A\rightarrow\prod B$ (where $latex A$ and $latex B$ are indexed families of sets) there…

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Algebraic general topology General Topology

A new theorem about subatimic product

By Victor Porton
On August 21, 2012

I recently discovered what I call subatomic product of funcoids. Today I proved a simple theorem about subatomic product: Theorem $latex \prod^{\left( A \right)}_{i \in n} \left( g_i \circ f_i \right) = \prod^{\left( A \right)} g \circ \prod^{\left( A \right)} f$ for…

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Algebraic general topology Category theory General Topology

Subatomic products – a new kind of product of funcoids

By Victor Porton
On August 20, 2012

I’ve discovered a new kind of product of funcoids, which I call subatomic product. Definition Let $latex f : A_0 \rightarrow A_1$ and $latex g : B_0 \rightarrow B_1$ are funcoids. Then $latex f \times^{\left( A \right)} g$ (subatomic product) is a…

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Filters Publications

Errata for Filters on Posets and Generalizations

By Victor Porton
On August 3, 2012

I’ve uploaded a little errata for Filters on Posets and Generalizations article published in IJPAM.

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#errata
Filters

How to teach filters to young mathematicians

By Victor Porton
On August 3, 2012

I propose the following way to introduce filters on sets to beginning students. (I am writing a book which contains this intro now.) You are welcomed to comment whether this is a good exposition and how to make it even better. We…

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#teaching math#teaching mathematics
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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