Differential group
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
An Abelian group 
with a given endomorphism 
such that 
. This endomorphism is called a differential. The elements of a differential group are known as chains; the elements of the kernel 
are known as cycles; and the elements of the image 
are called boundaries.
Comments
References
| [a1] | E.H. Spanier, "Algebraic topology" , McGraw-Hill (1966) pp. 156 |
How to Cite This Entry:
Differential group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Differential_group&oldid=13399
Differential group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Differential_group&oldid=13399
This article was adapted from an original article by A.V. Mikhalev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article