Homology of Distributive Lattices

We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a structure we define multi-term distributive homology and show some of its properties. The main result is a complete formula for the homology of a finite distributive lattice. We also indicate the answer for unital spindles and conjecture the general formula for semi-lattices and some skew lattices. Then we propose a generalization of a lattice as a set with a number of idempotent operations satisfying the absorption law.Comment: 30 pages, 3 tables, 3 figure

K2 of cyclic group rings over lambda-rings

AbstractThe theory developed in previous papers of the author is used to compute the algebraicK2of group rings of cyclicp-groups with coefficients in an arbitrary λ-ring

Equivariant cohomology operations and the non-simply-connected surgery obstructions

Contains fulltext : mmubn000001_161673023.pdf (publisher's version ) (Open Access)Promotor : H. Oedaijrajsingh Varma122 p