The Net Advance of Physics:
CATEGORIES

CATEGORY THEORY:

• General: Introductory:
  • This Week's Finds in Mathematical Physics (Week 4) by John Baez [1993/02/8]
  • Notes on category theory with examples from basic mathematics by P. Perrone [2019/12]

• General: Textbooks:
  • Basic Category Theory by Tom Leinster [2014] Textbook, 183 pp.
  • Seven Sketches in Compositionality: An Invitation to Applied Category Theory by Brendan Fong and David I. Spivak [2018/03] 243 pp.

• General:
  • This Week's Finds in Mathematical Physics (51-100) by J. C. Baez [1995--1997]
  • Introducing categories to the practicing physicist by Bob Coecke [2006]
  • From Categories to Anyons: A Travelogue by Kerstin Beer et al. [2018/11]
  • An Introduction to Higher Categorical Algebra by David Gepner [2019/07]
  • Categories for Me, and You? by Clément Aubert [2019/10]
  • Notes on category theory with examples from basic mathematics by P. Perrone [2019/12]

• Type: APPLIED:
  • What is Applied Category Theory? by Tai-Danae Bradley [2018/09]

• Type: BICATEGORIES:
  • Bicategories in field theories - an invitation by Thomas Nikolaus and Christoph Schweigert [2011/11]

• Type: DERIVED:
  • Introduction to Derived Categories by Amnon Yekutieli [2015/01]
  • Derived Categories: A Textbook by Amnon Yekutieli [2016/10] 158 pp.

• Type: HIGHER DIMENSIONAL: Textbooks: Leinster 2003/05;

• Type: INFINITY:
  • Lectures on infinity categories by Vladimir Hinich [2016/09]

• Aspects: SEGAL SPACES:
  • Introduction to Complete Segal Spaces by Nima Rasekh [2018/05]

• Re: ANYONS:
  • From Categories to Anyons: A Travelogue by Kerstin Beer et al. [2018/11]

• Re: FIELD THEORY:
  • Bicategories in field theories - an invitation by Thomas Nikolaus and Christoph Schweigert [2011/11]
  • Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories by Araminta Amabel et al. [2019/07]

• Re: QUANTUM MECHANICS:
  • A universe of processes and some of its guises by Bob Coecke [2010/09]

• Re: THERMODYNAMICS:
  • Entropy in Thermodynamics: From Foliation to Categorization by Radosław A. Kycia [2019/08]

THE NET ADVANCE OF PHYSICS