Algebraic General Topology: Book 1: Basics
Algebraic General Topology: Book 1: Basics
Free!
Minimum price
$9.99
Suggested price
Algebraic General Topology: Book 1: Basics

This book is 100% complete

Completed on 2020-04-10

About the Book

There are many examples in the entire text. A student with an advanced calculation background and basic knowledge could easily study this book. The reader will learn from this book more advanced topics in mathematics.

This text consists of a series of simple to intermediate topology topics. However, all the competences needed for advanced mathematical studies are extensively discussed and evaluated. Algebraic General Topology is perfect for teachers in topology or undergraduate and graduate studies.

In this work the writer introduces and study in details the concepts of funcoid which generalize proximity spaces and reloids which generalize uniform spaces, and generalizations thereof. The concept of funcoid is generalized concept of proximity; the concept of reloid is cleared from superfluous details (generalized) concept of uniformity.

Also funcoids and reloids can be considered as a generalization of (oriented) graphs, this provides us with a common generalization of calculus and discrete mathematics. The concept of continuity is defined by an algebraic formula (instead of old messy epsilon-delta notation) for arbitrary morphisms (including funcoids and reloids) of a partially ordered category. In one formula continuity, proximity continuity, and uniform continuity are generalized.

Also the author defines connectedness for funcoids and reloids. Then he considers generalizations of funcoids: pointfree funcoids and generalization of pointfree funcoids: staroids and multifuncoids. Also I define several kinds of products of funcoids and other morphisms. Before going to topology, this book studies property of co-brouwerian lattices and filters as well.

This is a great resource which is a must have for you. However, it is not a highly standard book and you will therefore need to back it up with other topology materials.

About the Author

Authors have earned$9,394,277writing, publishing and selling on Leanpub,
earning 80% royalties while saving up to 25 million pounds of CO2 and up to 46,000 trees.

Learn more about writing on Leanpub

The Leanpub 45-day 100% Happiness Guarantee

Within 45 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.

See full terms

Free Updates. DRM Free.

If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).

Most Leanpub books are available in PDF (for computers), EPUB (for phones and tablets) and MOBI (for Kindle). The formats that a book includes are shown at the top right corner of this page.

Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.

Learn more about Leanpub's ebook formats and where to read them

Write and Publish on Leanpub

You can use Leanpub to easily write, publish and sell in-progress and completed ebooks and online courses! Leanpub is a powerful platform for serious authors, combining a simple, elegant writing and publishing workflow with a store focused on selling in-progress ebooks. Leanpub is a magical typewriter for authors: just write in plain text, and to publish your ebook, just click a button. It really is that easy.

Learn more about writing on Leanpub