Abstract
of singular endomorphisms of an n-dimensional vector space over K are discussed here. Since S n is known to be an idempotent generated regular semigroup, we pay more attention to the topological properties of the set E n of idempotents in S n . The local structure of E n is shown to be that of a C infinity-manifold and of a finite-dimensional vector bundle over the Grassmann manifolds. The topology of the biorder relations and sandwich sets are also discussed.
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