Abstract
In this chapter we discuss Fredholm theoretical approach to K-theory. The main theorem says that the set of homotopy classes of a family of Fredholm operators over a compact space X is the same as the group K(X). The theory of Fredholm operators and the homotopy invariance of their index is fundamental for a systematic study of elliptic pseudo-differential operators.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Hindustan Book Agency
About this chapter
Cite this chapter
Mukherjee, A. (2013). Fredholm Operators and Atiyah-Jänich Theorem. In: Atiyah-Singer Index Theorem. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-60-6_2
Download citation
DOI: https://doi.org/10.1007/978-93-86279-60-6_2
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-93-80250-54-0
Online ISBN: 978-93-86279-60-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)