Topologies on product and coproduct Frölicher spaces

• Autorzy: Batubenge T. A. , Tshilombo M. H.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Frolicher space; Frölicher topology

PL

przestrzeń Frolichera; topologia Frolichera

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 4
• Strony: 1012--1024
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Batubenge T. A.

• Department of Mathematical, Sciences University of South Africa, Po Box 392, Unisa 003, South Africa

autor

Tshilombo M. H.

• School of Mathematics, University of The Witwatersrand (WITS) 1, Jan Smuts Avenue, Braamfontein, Johannesburg Private Bag 3, Wits 2050, Johannesburg, South Africa

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