“Algebraic General Topology. Volume 1” checked for errors
I have finished checking my book “Algebraic General Topology. Volume 1” for errors. That said some minor errors may yet remain, probably I will check it again. At the time of writing this blog post the book is available online. Enjoy this new theory.
Fake alarm: There was no error in my book
I’ve sent my book (Algebraic General Topology. Volume 1) to a publisher. Afterward I’ve withdrawn it due an error. This was a fake alarm: I’ve found an error where there was no error. Today I’ve submitted it to the publisher again. Now (before copyright transfer) the book is available online.
Welcome to collaborative research on PlanetMath.org
Background information: I’ve written a math book and submitted it to a publisher. But afterward I found a serious error (a wrong proof of the conjecture below) and have withdrawn it from the publisher. Now the draft book is available online. (You will enjoy reading it if you are interested in general topology.) I welcome […]
My book “Algebraic General Topology. Volume 1” has a serious error
I found a serious error in my book. The error is in the proof of the lemma currently numbered 15.140. I for now was unable to write a correct proof of this lemma (nor of some appropriate weakening of this lemma). So I’ve withdrawn the book from the publisher.
My math book sent to a competition
I have sent my book “Algebraic General Topology. Volume 1” to EMS Monograph Award competition, which provides a 10000 EUR prize for best math research monograph. I hope to win the prize and also to publish my book with EMS. While the copyright is not yet transferred to a publisher, you may read my draft […]
“Algebraic General Topology. Volume 1” first complete draft
Today I release the first complete (not partial) draft of my book “Algebraic General Topology. Volume 1”. This draft is very rough yet however and needs much editing both for error checking and for greater clarity. It is also possible that I will expand it a little, especially in the chapter “Multifuncoids and staroids”. Download […]
“Algebraic General Topology. Volume 1” – now entire my theory here
The current draft (PDF) of the book “Algebraic General Topology. Volume 1” contains the entire general topology theory which I’ve discovered (so called Algebraic General Topology). Now is a happy day when my entire theory is put into one PDF file (190 A4 pages). In this version of the book are however missing an introductory […]
Funcoids and reloids in my math book draft
My partial draft book now contains the theory of funcoids and reloids. You may use this online draft (while I have not yet transferred the copyright) to study my theory of funcoids and reloids. Pointfree funcoids, multidimensional funcoids and staroids presented in my articles are not yet added to this partial draft.
A readable draft of “Multidimensional Funcoids”
I created a new draft of my article Multidimensional Funcoids article, which is probably has become readable now. Nevertheless there may be many errors yet. Now I am going to concentrate my efforts into putting my research in a book form for participating in EMS Monograph Award.
A change in terminology: multifuncoid -> staroid
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 become more similar to the meaning of the term “pointfree funcoid”.