Convenient categories of topological algebras

  title={Convenient categories of topological algebras},
  author={E. Dubuc and H. Porta},
  journal={Bulletin of the American Mathematical Society},
  • E. Dubuc, H. Porta
  • Published 1971
  • Mathematics
  • Bulletin of the American Mathematical Society
Introduction. Concrete associative algebras with a topology have long arisen in mathematical practice; thus, a notion of topological space with algebraic operations making it an associative algebra was in order. The subject naturally evolved into the present general theory of abstract topological algebras [5]. Classes of such objects (together with continuous maps respecting the algebraic structure) form categories which, understandably, do not share some important properties of their purely… Expand
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