A geometric approach to homology theory [EBook] / by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson.
A geometric approach to homology theory [EBook] / by S. Buoncristiano, C.P. Rourke, and B.J. Sanderson.
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bor...
Personal Name(s):  Buoncristiano, S., (author) 

Rourke, C. P., (author) / Sanderson, B. J., (author)  
Imprint: 
Cambridge :
Cambridge University Press,
1976

Physical Description: 
1 online resource (149 pages) 
Note: 
englisch 
ISBN: 
9780521209403 9780511662669 
Series Title: 
London Mathematical Society lecture note series ;
18 
Subject (LOC):  
Full Text 
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory. 