Advanced Global Analysis : Techniques and applications

This book is composed of several sections which follow one another for flow. The focus is on the Whitehead theorem which implies that a space W is contractible if and only if W is both acyclic and has trivial fundamental group. So one would expect the fundamental group of an acyclic space to contain a lot of information. Moreover, acyclic spaces can be characterized in this way. This book contains super results for modern global analysis.