Please wait...
Toll Free: 1800-1234-070, Ph. No.: +91-9711224068
AkiNik Publications
  1. Home
  2. chevron_right
  3. Book

Category Theory Applied in Different Uniform Spaces

Category Theory Applied in Different Uniform Spaces


₹ 280


Author(s):Dr. Susha D
Paperback ISBN:978-93-5335-370-4
Publisher:AkiNik Publications
Language:English
Pages:22
Publication Year:2019
Binding:Paperback

Price Details
Amount₹ 280

Availabilityin stock
Payable Amount₹ 280

Description

This book explores the fascinating world of category theory and its application in various branches of mathematics, offering a unified framework for understanding uniform structures. From its origins in the work of Eilenberg and MacLane, category theory has become a powerful tool for abstractly expressing mathematical concepts. The book covers fundamental topics such as categories, functors, and morphisms, with a special focus on fuzzy set theory and the development of uniform structures in fuzzy topological spaces. By introducing the concept of a uniform environment, the book presents a novel approach for unifying classical, probabilistic, and Hutton uniform environments, shedding new light on transformations across different mathematical structures. The interdisciplinary relevance of this theory is also highlighted through its application to symmetry analysis in molecules.

Abstract

This book provides a comprehensive introduction to category theory, emphasizing its application in unifying uniform structures in mathematics. Category theory, as a tool to abstractly represent mathematical relationships, offers a broader perspective across diverse mathematical fields. The concept of a uniform environment, a functor mapping sets to involutive quantales, is central to this work. The book explores the development of uniform and metric spaces within this framework, extending the theory to fuzzy topological spaces. By studying transformations between classical, probabilistic, and Hutton uniform environments, it bridges gaps between different mathematical concepts and their interdisciplinary applications, such as in the study of molecular symmetries.

Reviews

5.0

1 reviews





Prof. Thomas Wright
  November 12, 2024

I appreciated the author's critical perspective, which challenged existing views in the field.

AkiNik Publications
AkiNik Publications Phone: +91-9911215212