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Tag: error

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Algebraic general topology General Topology

Compact funcoids – $100 for one who finds my error

By Victor Porton
On September 14, 2013

I have put online a rough draft of an article about compact funcoids. In the draft article there is an error which I have trouble to find. I will pay $100 to the first person which finds my error (unless I find…

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#error
Algebraic general topology Open problems

Erroneous theorem became a conjecture

By Victor Porton
On March 29, 2010

I mistakenly used yet unproved statement that $latex \mathrm{up}\,f$ (taken on the filtrator of funcoids) is a filter for every funcoid $latex f$ in proof of a theorem. So after I found this error I downgrade this theorem to the status of…

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#error
Algebraic general topology

Erroneous lemma corrected

By Victor Porton
On March 29, 2010

In “Funcoids and Reloids” online draft there was an erroneous lemma: Lemma For every two sets $latex S$ and $latex T$ of binary relations and every set $latex A$ $latex \bigcap {\nobreak}^{\mathfrak{F}} S = \bigcap {\nobreak}^{\mathfrak{F}} T \Rightarrow \bigcap {\nobreak}^{\mathfrak{F}} \{ \langle…

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#error
Algebraic general topology

Errors in Funcoids and Reloids corrected

By Victor Porton
On March 28, 2010

I corrected some errors in “Funcoids and Reloids” online draft. The main error was messing $latex \subseteq$ and $latex \supseteq$ in the theorem about continuing a function defined on atomic filter objects till $latex \langle f\rangle$ for a funcoid $latex f$ (currently…

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#error
Algebraic general topology Open problems

False proof of an open problem

By Victor Porton
On March 27, 2010

I earlier proclaimed that I positively solved this conjecture: Conjecture $latex f\cap^{\mathsf{FCD}} g = f\cap g$ for every binary relations $latex f$ and $latex g$. There were error in my proof and I deleted it. See the draft of Funcoids and Reloids…

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#error
Algebraic general topology

Erroneous theorem

By Victor Porton
On March 26, 2010

I found a counter-example and an error in my proof of this (erroneous) theorem in Funcoids and Reloids article: Let $latex f\in\mathsf{FCD}$. If $latex R$ is a set of co-complete funcoids then $latex f \circ \bigcup {\nobreak}^{\mathsf{FCD}} R = \bigcup {\nobreak}^{\mathsf{FCD}} \left\langle…

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#error
Algebraic general topology

Errors in my draft article “Connectedness of funcoids and reloids”

By Victor Porton
On March 25, 2010

In my draft article “Connectedness of funcoids and reloids” at Algebraic General Topology site I found several serious errors. Sorry, I will correct these at some time in the future. (I don’t know how much time will take to find correct proofs…

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#connected space#connectedness#connectivity#draft#erroneous#error
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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