Topology: A Categorical Approach by Tai-Danae Bradley, et al
Topology: A Categorical Approach - Table of Contents
- 0. Categorical Preliminaries
- 1. Topological Examples and Constructions
- 2. Properties of Connectedness and Compactness
- 3. Convergence via Limits of Sequences and Filters
- 4. Theory of Categorical Limits and Colimits
- 5. Structure of Adjunctions and the Compact-Open Topology
- 6. Homotopy Theory of Paths, Loops, Cylinders, Suspensions
What You Will Learn in Topology: A Categorical Approach
Studying Topology: A Categorical Approach by Tai-Danae Bradley bridges fundamental point-set topology with category theory. Accessing this topology a categorical approach pdf download enables graduate students and researchers to master functors, natural transformations, universal mapping properties, and quotient constructions.
Written by Tai-Danae Bradley, Tyler Bryson, and John Terilla, this acclaimed topology a categorical approach book pdf unifies classic topological notions—such as compactness, connectedness, product spaces, and fundamental groups—under the elegant framework of limits, colimits, and adjoint functors.
Available as an open-access study guide via topology a categorical approach free pdf download, this fundamental reference is ideal for preparing for advanced research in algebraic topology, homological algebra, and theoretical computer science.
Book Details & Specifications
Title:
Topology: A Categorical Approach by Tai-Danae Bradley, et al
Publisher:
The MIT Press
Year:
2020
Pages:
166
Type:
PDF
Language:
English
ISBN-10 #:
0262539357
ISBN-13 #:
978-0262539357
License:
CC BY-NC-ND 2.0
Amazon:
Amazon
About the Author: Tai-Danae Bradley, Tyler Bryson and John Terilla
The author Tai-Danae Bradley, Tyler Bryson and John Terilla
is a mathematician and research scientist specializing in category theory and quantum information, widely known for her mathematics blog Math3ma.
Co-authored alongside Tyler Bryson and John Terilla (Professor of Mathematics at Queens College and the CUNY Graduate Center), their landmark textbook topology a categorical approach by tai-danae bradley provides a modern categorical perspective on point-set and algebraic topology.
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