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.
(6850 views)
Book cover: The Convenient Setting of Global AnalysisThe Convenient Setting of Global Analysis
by - 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.
(10470 views)
Book cover: Lecture Notes on Seiberg-Witten InvariantsLecture Notes on Seiberg-Witten Invariants
by - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(7030 views)
Book cover: Topology and Physics: A Historical EssayTopology and Physics: A Historical Essay
by - 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.
(10354 views)