Coproducts in the category $${{\mathcal {S}}}(B)$$ of Segal topological algebras, revisited

Abstract

In this paper we generalize the result (obtained by the author earlier in the paper titled “Products and coproducts in the category $${{\mathcal {S}}}(B)$$ of Segal topological algebras”) about the existence of the coproduct of objects of the category $${\mathcal S}(B)$$ from finite collection of objects of $${{\mathcal {S}}}(B)$$ to any collection of objects of $${{\mathcal {S}}}(B)$$ .