Saturday, April 19, 2008

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5 comments:

Mr roT said...

Fly-by-night school tries to shake down Page and Brin. Go back to Framingham, NEU!

4/19/2008 7:45 PM
Tecumseh said...

Tsk, tsk, tsk. I bet the Texas judge will see things a tad differently.

4/19/2008 7:49 PM
Tecumseh said...

Baclawski is actually a mathematician -- was a student of Gian Carlo Rota at MIT in the old days. One of his better known papers is on Whitney numbers of geometric lattices. From the review:

It has been a long-standing conjecture of Rota that there is a homology theory on the category of ordered sets such that the Betti numbers of a geometric lattice are the Whitney numbers of the first kind. The purpose of this paper is to describe such a theory. We will also show that our theory and the usual simplicial theory are related by a spectral sequence.

The first section develops sheaf theory, and sheaf cohomology on partially ordered sets. Section 2 is concerned with the sheaf cohomology for the sheaf of locally constant integer-valued functions on a partially ordered set $P$, and for a sheaf defined on $P$ in terms of G. C. Rota's valuation ring. The promised connection between Whitney numbers and the Betti numbers of the cohomology groups of a suitable sheaf over a geometric lattice is established in Section 3. In the fourth section, the author describes a spectral sequence from which a relation is obtained between the cohomology developed in Section 3, and the ordinary simplicial cohomology of a geometric lattice. In the final section, it is shown that the theory can be developed using specific simplicial chain complexes in place of sheaf cohomology.

4/19/2008 7:54 PM
Arelcao Akleos said...

Actually, if there is some basis to this suit, this could garner NEU billions...
AI, do you believe in the trickle down theory?

4/19/2008 7:58 PM
Tecumseh said...

Trickle down is good. Also, a rising tide lifts all boats. By the way, here is the patent in question.

4/19/2008 9:19 PM

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