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: Exact Sequences in the Algebraic Theory of SurgeryExact Sequences in the Algebraic Theory of Surgery
by - Princeton University Press
One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.
(7165 views)
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.
(7180 views)
Book cover: Floer Homology, Gauge Theory, and Low Dimensional TopologyFloer Homology, Gauge Theory, and Low Dimensional Topology
by - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(9999 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.
(7114 views)