Concerning the topological interpretation of Mobius numbers

Today I asked in class whether one could extract more (topological) information from \mu(P). I had the feeling that there had to be a connection between this and the Betti numbers of the order complex (those who have dealt with Euler characteristics before might have thought of this already): http://en.wikipedia.org/wiki/Betti_number.

I have not thought about it for too long, but I am wondering about what the topology could tell us about the combinatorics of the poset . . .

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: