A Geometric Approach to Homology Theory

by S. Buonchristiano, C. P. Rourke, B. J. Sanderson

Series: London Mathematical Society Lecture Note Series (No. 18)

Preview
Subject categories
ISBNs
  • 9780521209403
  • 9781107107496
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.

Subject categories
ISBNs
  • 9780521209403
  • 9781107107496