Algebraic General Topology: Book 3: Algebra: Edition 3

By Victor Porton

I define space as an element of an ordered semigroup action, that is a semigroup action conforming to a partial order. Topological spaces, uniform spaces, proximity spaces, (directed) graphs, metric spaces, etc. all are spaces. It can be further generalized to ordered precategory actions (that I call interspaces). I build basic general topology (continuity, limit, openness, closedness, hausdorffness, compactness, etc.) in an arbitrary space. Now general topology is an algebraic theory.For example, my generalized continuous function are: continuous function for topological spaces, proximally continuous functions for proximity spaces, uniformly continuous functions for uniform spaces, contractions for metric spaces, discretely continuous functions for (directed) graphs.Was a spell laid onto Earth mathematicians not to find the most important structure in general topology until 2019?

• Format: Paperback
• Language: English
• ISBN: 1710826711
• ISBN13: 9781710826715
• Release Date: November 2019
• Publisher: Independently Published
• Length: 64 Pages
• Weight: 0.38 lbs.
• Dimensions: 0.1" x 5.1" x 7.8"