Abstract
In this chapter we consider another collection of homology theories, the bordism theories, which arise from manipulations with manifolds, although in a different sense from that in which the K-theories have their origins in manipulations with bundles. We begin with the definition of a manifold, but we shall not prove all the theorems about manifolds which we shall employ, because to do so would lead to a chapter out of all proportion with the rest of the book (it is recommended that the reader unfamiliar with the theory of manifolds see [69] or [52]). Instead we go on to define the Thorn complex of a vector bundle and the various Thorn spectra MG. Then we sketch the proof of Thorn that the homology theories associated with these spectra can be described in terms of singular manifolds.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
