Special Course in Functional Analysis: (Non-)Commutative Topology
by Ville Turunen
Publisher: Aalto TKK 2008
Number of pages: 83
Description:
In this book you will learn something about functional analytic framework of topology. And you will get an access to more advanced literature on non-commutative geometry, a quite recent topic in mathematics and mathematical physics. The prerequisite for this course is some elementary understanding of Banach spaces.
Download or read it online for free here:
Download link
(370KB, PDF)
Similar books
Manifoldsby Neil Lambert - King's College London
From the table of contents: Manifolds (Elementary Topology and Definitions); The Tangent Space; Maps Between Manifolds; Vector Fields; Tensors; Differential Forms; Connections, Curvature and Metrics; Riemannian Manifolds.
(5172 views)
The Convenient Setting of Global Analysisby Andreas Kriegl, Peter W. Michor - American Mathematical Society
This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.
(8740 views)
Lectures on Sheaf Theoryby C.H. Dowker - Tata Institute of Fundamental Research
A sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space. Contents: Sheaves; Sections; Cohomology groups of a space with coefficients in a presheaf; Introduction of the family Phi; etc.
(5425 views)
Topology and Physics: A Historical Essayby C. Nash - arXiv
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(8509 views)