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Tag: connected space

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General Topology Open problems

How connectedness is related with continuity?

By Victor Porton
On August 1, 2010

I sent my article Connectors and generalized connectedness to a math journal for peer review and publication. This my article however does not address an important facet: It is well known that a set is connected if every function from it to…

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#connected space#connectedness#connectivity
General Topology Publications

Connectors and generalized connectedness – preprint

By Victor Porton
On July 31, 2010

I sent the preprint of the article Connectors and generalized connectedness to Topology and its Applications journal. I’m not sure they will classify my article as topological. If not I’ll send to an other journal.

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#connected space#connectedness#connectivity
General Topology

“Connectors and generalized connectedness” online article

By Victor Porton
On July 30, 2010

I released the first draft not marked preliminary (that is supposedly readable by mathematicians) of my article Connectors and generalized connectedness. I need yet to little polish it and check for errors to make it a preprint before I’ll send it to…

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#connected space#connectedness#connectivity
General Topology

Connectors and generalized connectedness – draft

By Victor Porton
On July 23, 2010

I updated online draft of the article “Connectors and generalized connectedness” which considers a generalization of topological connectedness, graph connectedness, proximal connectedness, uniform connectedness, etc.

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#connected space#connectedness#connectivity
Algebraic general topology Open problems

“Funcoids and Reloids” contains “Connectedness”

By Victor Porton
On March 25, 2010

Now Funcoids and Reloids online article contains the section “Connectedness regarding funcoids and reloids” which previously was in a separate article. In this section there are among definitions and theorems a few open problems.

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#connected space#connectedness#connectivity
Algebraic general topology Filters Open problems

Errors corrected in article “Connectedness of funcoids and reloids”

By Victor Porton
On March 25, 2010

I have said that there were several errors in my draft article “Connectedness of funcoids and reloids” at Algebraic General Topology site. I have corrected the errors, but now some of what were erroneous theorems downgraded to the status of conjecture.

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#connected space#connectedness#connectivity
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
  • 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