2
$\begingroup$

I'd like to know some of the applications of topology to discrete dynamics. By discrete dynamics I loosely mean studying maps between discrete sets.

I mean cases where adding a topology to the sets or enlarging them to topological spaces enables one to use topological methods to either prove a new result about the behavior of the maps or give a new proof of an old one.

No-go theorems (that a topological method won't be of any help for a given problem) would be interesting as well.

Improve this question
$\endgroup$
1

1 Answer 1

Reset to default
1
$\begingroup$

You will find much of that in Neil Hindman and Dona Strauss, Algebra in the Stone-Cech Compactification---Theory and Applications. Series: De Gruyter Textbook.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .