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On the generalized quotient integrals on homogeneous spaces

Derikvand T., Kamyabi-Gol R. A., Janfada M.

Journal of Applied Analysis

2017

Vol. 23, nr 2

65--71

A generalization of the quotient integral formula is presented and some of its properties are investigated. Also the relations between two function spaces related to the special homogeneous spaces are derived by using the general quotient integral formula. Finally, our results are supported by some examples.

Quasi-symmetric B-categories

Nawaz M.

Demonstratio Mathematica

2007

Vol. 40, nr 3

517-527

This paper deals with B-categories where B is a quantaloid obtained from a right Gelfand quantale Q. Quantale is non-commutative extension of concept of locale. A notion of sheaf for Q is introduced; it turns out that these sheaves are precisely quasi-symmetric skeletal Cauchy-complete B-categories. In particular if Q is a locale, this construction reduces to that given in ”Sheaves and Cauchy-complete Categories” by R.F.C. Walters.