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(d) Hm−∗(M,M \X), where M is a smooth oriented manifold of dimension m and there exists an embedding X ↪→M as before. (d’) Hm−∗(X) if X itself is a smooth oriented manifold of dimension m. (e) H∗(D•(X), d). Assume there exists an embedding X ↪→M to a smooth manifold M of dimension m. Then we define D•(X) be a chain complex of distributions supported on X. (A distributions of degree k is a conti...

The main objective of this study was to describe the incidence of mammary tumors (MTs) and the survival after MTs, in female dogs between 3 and 10 years of age (insured for veterinary care and with life insurance in a Swedish animal-insurance company) from 1995 to 2002. Measures of incidence are presented crudely, by breed and across age categories and birth cohorts (1991-1998). The survivals u...

We define the notion of basic set data for finite groups (building on set, but including an order irreducible characters as part structure), and we prove that Springer correspondence provides Weyl groups. Then use this to determine explicitly modular classical types (defined over a base field odd characteristic p, with coefficients in ℓ≠p): case is obtained restriction ordinary set. In do so, c...

Purity of affine Springer fibers for GL4). — The affine Springer fiber corresponding to GL4 and regular semi-simple integral split element admits an affine paving, so its cohomology is “pure”.