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2. Introduction to 3-Manifolds - Wikipedia

   en.wikipedia.org/wiki/Introduction_to_3-Manifolds

   Familiar examples of two-dimensional manifolds include the sphere, torus, and Klein bottle; this book concentrates on three-dimensional manifolds, and on two-dimensional surfaces within them. A particular focus is a Heegaard splitting, a two-dimensional surface that partitions a 3-manifold into two handlebodies. It aims to present the main ...

3. Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

   Kirby, Robion C. and Siebenmann, Laurence C. (1977) Foundational Essays on Topological Manifolds. Smoothings, and Triangulations. Princeton University Press. ISBN 0-691-08190-5. A detailed study of the category of topological manifolds. Lee, John M. (2000) Introduction to Topological Manifolds. Springer-Verlag. ISBN 0-387-98759-2. Detailed and ...

4. Topological manifold - Wikipedia

   en.wikipedia.org/wiki/Topological_manifold

   For any manifold the properties of being second-countable, Lindelöf, and σ-compact are all equivalent. Every second-countable manifold is paracompact, but not vice versa. However, the converse is nearly true: a paracompact manifold is second-countable if and only if it has a countable number of connected components. In particular, a connected ...

5. Classification of manifolds - Wikipedia

   en.wikipedia.org/wiki/Classification_of_manifolds

   There are two usual ways to give a classification: explicitly, by an enumeration, or implicitly, in terms of invariants. For instance, for orientable surfaces, the classification of surfaces enumerates them as the connected sum of tori, and an invariant that classifies them is the genus or Euler characteristic.

6. Template : Lee Riemannian Manifolds An Introduction to ...

   en.wikipedia.org/wiki/Template:Lee_Riemannian...

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7. Template:Lee Introduction to Smooth Manifolds/doc - Wikipedia

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8. Jennifer Schultens - Wikipedia

   en.wikipedia.org/wiki/Jennifer_Schultens

   Schultens is the author of the book Introduction to 3-Manifolds (Graduate Studies in Mathematics, 2014). [4] With Martin Scharlemann and Toshio Saito, she is a co-author of Lecture Notes On Generalized Heegaard Splittings (World Scientific, 2016).

9. Calculus on Manifolds (book) - Wikipedia

   en.wikipedia.org/wiki/Calculus_on_Manifolds_(book)

   Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables (f : R n →R m) and differentiable manifolds in Euclidean space. . In addition to extending the concepts of differentiation (including the inverse and implicit function theorems) and Riemann integration (including Fubini's theorem) to functions of several variables, the book treats ...