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Topologies on product and coproduct Frölicher spaces

Batubenge T. A., Tshilombo M. H.

Demonstratio Mathematica

2014

Vol. 47, nr 4

1012--1024

In this paper, the topologies underlying a product Frölicher space and a coproduct Frölicher space are defined and compared. It is shown that the product topology, which is equal to the one induced by structure functions, is the weakest one in which all projections are continuous. On the other hand, it is proved that the three topologies arising from the coproduct structure are equal.