On galbed spaces, galbed algebras and the topological product of galbed algebras

The notion of a galbed space/galbed algebra was intoduced in 1970-s. Until this century, main studied galbed spaces and algebras were exponentially galbed spaces and algebras. I will present the historical overview, exact definitions and main properties of galbed spaces and algebras in this talk. The main focus will be given to the recent studies about the question, when the topological product of galbed agebras is itself a galbed algebra. This talk is partly based on joint papers with Mati Abel.