scholarly journals On fuzzy function spaces

1999 ◽  
Vol 22 (4) ◽  
pp. 727-737 ◽  
Author(s):  
Gunther Jäger
Keyword(s):  
Function Spaces ◽  
Compact Open Topology ◽  
Convergence Spaces ◽  
Exponential Law ◽  
Fuzzy Function ◽  
Fuzzy Convergence ◽  
Special Case ◽  
Fuzzy Subsets

In [3], we started the investigation of compactness in fuzzy function spaces in FCS, the category of fuzzy convergence spaces as defined by Lowen/Lowen/Wuyts [8]. This paper goes somewhat deeper in the investigation of fuzzy function spaces using the notion of splitting and conjoining structures on fuzzy subsets. We discuss the connection to the exponential law and give several examples of such structures. As a special case, we study a notion of fuzzy compact open topology.

scholarly journals Quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces

2001 ◽  
Vol 26 (7) ◽  
pp. 385-392 ◽  
Author(s):  
Koena Rufus Nailana
Keyword(s):  
Function Spaces ◽  
Compact Open Topology

We determine conditions for quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces. We also study conditions for complete quasi-pseudometrizability.

scholarly journals The category of uniform convergence spaces is cartesian closed

1976 ◽  
Vol 15 (3) ◽  
pp. 461-465 ◽  
Author(s):  
R.S. Lee
Keyword(s):  
Uniform Convergence ◽  
Function Spaces ◽  
Convergence Spaces ◽  
Cartesian Closedness ◽  
Cartesian Closed ◽  
And Function

This paper first assigns specific uniform convergence structures to the products and function spaces of pairs of uniform convergence spaces, and then establishes a bijection between corresponding sets of morphisms which yields cartesian closedness.

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