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On the advertible completion of a topological algebra

2010; University of Debrecen; Volume: 77; Issue: 1-2 Linguagem: Inglês

10.5486/pmd.2010.4701

2064-2849

Hugo Arizmendi-Peimbert, Angel Carrillo-Hoyo, Reyna María Pérez-Tiscareño,

Homotopy and Cohomology in Algebraic Topology

We present relations between topologically invertible elements, topological divisors of zero and invertible elements of unital topological algebras.We define the advertible completion of a unital topological algebra A and give an explicit description of this new algebra when A is commutative.This description is exemplified in the algebra of holomorphic functions on the complex unit closed disc endowed with an m-convex topology.