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Math research of Victor Porton
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An example of a separable poset with certain property | Victor Porton's Math Blog
https://portonmath.wordpress.com/2015/05/23/separble
Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). May 23, 2015 / porton. An example of a separable poset with certain property. With help of sci.math crowd it was demonstrated an example that there exist a (finite) poset, which is separable (in the sense defined in this book. Denotes our order) for elements. See this short article with a diagram of such a poset. Click to email (Opens in new window). Leave a Reply Cancel reply.
Ideals, free stars, and mixers in my book | Victor Porton's Math Blog
https://portonmath.wordpress.com/2015/06/14/free-stars
Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). June 14, 2015 / porton. Ideals, free stars, and mixers in my book. I wrote a section on ideals, free stars, and mixers in my book. Now free stars (among with ideals and mixers) are studied as first class objects, being shown isomorphic to filters on posets. See the development version of my book. Click to email (Opens in new window). Share on Facebook (Opens in new window). Enter yo...
Victor Porton's Math Blog | Math research of Victor Porton | Page 2
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Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). July 28, 2016 / porton. I have added to my book. A short proof that the following two conjectures are equivalent:. Meet of every two complete reloids is complete. Filed under Algebraic general topology. July 27, 2016 / porton. While writing my book. I overlooked to consider the following statement:. Of funcoids of appropriate sources and destinations. July 27, 2016 / porton. Filed u...
Another definition of pointfree reloids | Victor Porton's Math Blog
https://portonmath.wordpress.com/2015/07/31/another-definition
Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). July 31, 2015 / porton. Another definition of pointfree reloids. I stated that pointfree reloids can be defined as filters on pointfree funcoids. Now I suggest also an alternative definition of pointfree reloids: Pointfree reloids can be defined as filters on products. Of atoms of posets. In the case if. Click to email (Opens in new window). Share on Facebook (Opens in new window).
Pointfree reloids discovered | Victor Porton's Math Blog
https://portonmath.wordpress.com/2015/07/30/pointfree-reloids-discovered
Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). July 30, 2015 / porton. Which generalize funcoids (see my draft book. I sought for pointfree reloids (a suitable generalization of reloids, see my book) long time. Today I have finally discovered pointfree reloids. The idea is as follows:. Are essentially the same as pointfree funcoids. Denotes filters on a set. Are essentially the same as filters. Is essentially the same as. You ar...
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Algebraic General Topology and Math Synthesis - Math Discoveries of Victor Porton
http://www.mathematics21.org/index.html
Donate for the research. Follow Victor Porton's Math Blog on WordPress.com. My Math Discoveries - Victor Porton. I work in the following areas of mathematics:. I discovered Algebraic General Topology. A new field of math which will replace old General Topology. Mathematical Synthesis. Is how I call Algebraic General Topology applied to study of Mathematical Analysis. Among other things, it hides epsilon-delta notion behind a smart algebra. Logic and formalized mathematics. Donate for the research.
Donate for Math Research
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Donate for the research. Follow Victor Porton's Math Blog on WordPress.com. Donate for Math Research. Donate for the research. Follow Victor Porton's Math Blog on WordPress.com.
Misc math articles and essays - Victor Porton
http://www.mathematics21.org/misc-math.html
Donate for the research. Follow Victor Porton's Math Blog on WordPress.com. Misc math articles and essays. This page contain my misc math articles and essays not fitting to other categories on my math site. A way to describe binary relations and more general structures without referring to particular "points" (elements). Vertical order of binary relations. Vertical order of binary relations. Defined a partial order relation between binary relations. Theorem about binary relation limited to a set.
Formal theory of generalization
http://www.mathematics21.org/generalization.html
Donate for the research. Follow Victor Porton's Math Blog on WordPress.com. Formal theory of generalization. In the article Generalization in ZF. I formally define the notion of generalization in ZF set theory. I also formalized the results of that article in the form of Isabelle proof assistant. Source files. You can download. Donate for the research. Follow Victor Porton's Math Blog on WordPress.com.
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Victor Porton's Math Blog | Math research of Victor Porton
Victor Porton's Math Blog. Math research of Victor Porton. My math site (with articles). Algebraic General Topology (book). March 2, 2018 / porton. A new partial result about products of filters [ERROR! Below contains an error. I’ve proved (not yet quite thoroughly checked for errors) the following partial result:. For some proper filters. Currently the proof is located in this file. Filed under Algebraic general topology. February 14, 2018 / porton. I am going to move it to the book. In the future.).
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