Logo

Special Course in Functional Analysis: (Non-)Commutative Topology

Special Course in Functional Analysis: (Non-)Commutative Topology
by

Publisher: Aalto TKK
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

Book cover: ManifoldsManifolds
by - 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.
(9996 views)
Book cover: Lectures on Sheaf TheoryLectures on Sheaf Theory
by - 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.
(9927 views)
Book cover: TopologyTopology
by - Harvard University
Contents: Introduction; Background in set theory; Topology; Connected spaces; Compact spaces; Metric spaces; Normal spaces; Algebraic topology and homotopy theory; Categories and paths; Path lifting and covering spaces; Global topology; etc.
(7951 views)
Book cover: Optimization Algorithms on Matrix ManifoldsOptimization Algorithms on Matrix Manifolds
by - Princeton University Press
Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.
(17972 views)