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Online text: www.math.toronto.edu/mgualt/courses/MAT1300F-2012/docs/1300-2012-notes-1.pdf

Official course notes for the 2012 offering. Marco Gualtieri is identified as the course instructor; no author byline for these notes is established. University of Toronto hosts the course.

Cited passages: Topology I: smooth manifolds, Week 1, Example 1.6, equations (4)–(5), page 2; specialize the sphere charts to dimension one; Topology I: smooth manifolds, Week 1, Section 1.1, Definition 1.1, page 1.

Online text: www.math.toronto.edu/mgualt/courses/MAT1300F-2012/docs/1300-2012-notes-2.pdf

Official course notes for the 2012 offering. Marco Gualtieri is the course instructor, rather than an inferred author of these notes.

Cited passages: Topology I: smooth manifolds, Week 2, Section 1.2, equation (11) and Definitions 1.15–1.16, pages 5–6; Topology I: smooth manifolds, Week 2, Section 1.3, equation (21), Definition 1.21 and Remark 1.24, page 7.