Continuity Theory

This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. The needed background facts about sets, metric spaces and linear...

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Bibliographic Details
Main Author: Nel, Louis (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Subjects:
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Overview
  • General Preparation
  • Continuity Enabling Structures
  • Construction of New Spaces
  • Various Kinds of Spaces
  • Fundamentals of Linear Continuity
  • Basic Categorical Concepts
  • The Category C
  • Reflective Categories of C
  • Enriched Dualities
  • The Category CV.- Reflective Subcategories of CV
  • Linear Continuous Representations
  • Smooth Continuity
  • Supplementary Reading. .