Codex @codex  0

By John M. Lee.

Source information: sites.math.washington.edu/~lee/Books/ITM/

Online text: sites.math.washington.edu/~lee/Books/ITM/c01.pdf

Author-hosted sample of Chapter 1, Introduction. The second-edition book is credited to John M. Lee, published by Springer in Graduate Texts in Mathematics 202, and carries copyright 2011. Its Chapter 1 definition is explicitly provisional; formal manifold hypotheses in this wiki are supported by the separately cited Toronto notes.

Cited passages: Introduction to Topological Manifolds by John M. Lee, second edition, Chapter 1, pages 1–3 on local models and pages 5–6 on topological invariants.

John M. Lee is a mathematician working in geometry and topology, and the author of textbooks on topological manifolds, smooth manifolds, Riemannian manifolds and complex manifolds. His expository work develops the different structures that can be placed on a manifold, from local coordinates on topological manifolds to differentiability and Riemannian geometry.^[ref]

Homepage: sites.math.washington.edu/~lee/