Topologies on Product and Coproduct Frölicher Spaces
Abstract: 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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Topologies on Product and Coproduct Frölicher Spaces ; volume:47 ; number:4 ; year:2014 ; pages:1012-1024 ; extent:13
Demonstratio mathematica ; 47, Heft 4 (2014), 1012-1024 (gesamt 13)
- Creator
-
Batubenge, T. A.
Tshilombo, M. H.
- DOI
-
10.2478/dema-2014-0081
- URN
-
urn:nbn:de:101:1-2411181541221.253740790436
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
09.04.20252025, 4:02 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Batubenge, T. A.
- Tshilombo, M. H.
Other Objects (12)
TOPOLOGIES AND SMOOTH MAPS ON INITIAL AND FINAL OBJECTS IN THE CATEGORY OF FRÖLICHER SPACES
On the weak and pointwise topologies in function spaces
Mixed topologies on Saks spaces of vector-valued functions
UNIFORM STRUCTURES ON HYPERSPACES AND UNIFORM TOPOLOGIES ON SPACES OF MULTIFUNCTIONS
Bi-continuous semigroups on spaces with two topologies : theory and applications
Bi-continuous semigroups on spaces with two topologies : theory and applications
Topologies on types
Topologies on types
"Topologies on types": Correction
Uniform topologies on types
Topologies on types: connections
Sheaves on T-topologies
TOPOLOGIES AND SMOOTH MAPS ON INITIAL AND FINAL OBJECTS IN THE CATEGORY OF FRÖLICHER SPACES
On the weak and pointwise topologies in function spaces
Mixed topologies on Saks spaces of vector-valued functions
UNIFORM STRUCTURES ON HYPERSPACES AND UNIFORM TOPOLOGIES ON SPACES OF MULTIFUNCTIONS
Bi-continuous semigroups on spaces with two topologies : theory and applications
Bi-continuous semigroups on spaces with two topologies : theory and applications
Topologies on types
Topologies on types
"Topologies on types": Correction
Uniform topologies on types
Topologies on types: connections
Sheaves on T-topologies
TOPOLOGIES AND SMOOTH MAPS ON INITIAL AND FINAL OBJECTS IN THE CATEGORY OF FRÖLICHER SPACES
On the weak and pointwise topologies in function spaces
Mixed topologies on Saks spaces of vector-valued functions
UNIFORM STRUCTURES ON HYPERSPACES AND UNIFORM TOPOLOGIES ON SPACES OF MULTIFUNCTIONS
Bi-continuous semigroups on spaces with two topologies : theory and applications
Bi-continuous semigroups on spaces with two topologies : theory and applications
Topologies on types
Topologies on types
"Topologies on types": Correction
Uniform topologies on types
Topologies on types: connections