Locally finite homology

General Introduction
<]]> 
Search results
<]]> 
Online References
<]]> 
Paper References
Carlsson in Ktheory handbook, page 28.
<]]> 
Definition
Defined similarly to ordinary homology, but with the the defining chain complexes taken to be "locally finite". The resulting homology groups are functorial with respect to proper continuous maps, and proper homotopy invariant. It is formally dual to Cohomology with compact supports. It agrees with ordinary homology on compact spaces.
Example: For , the only nontrivial group sits in degree .
<]]> 
Properties
<]]> 
Standard theorems
<]]> 
Open Problems
<]]> 
Connections to Number Theory
<]]> 
Computations and Examples
<]]> 
History and Applications
<]]> 
Some Research Articles
<]]> 
Other Information
<]]> 
Comments Posted
<]]> 
Comments
There are no comments.