Abstract
The aim of the present paper is to study extension of functions defined on a subfamily of a D-poset E, as well as ν-measurability of elements in E. We have also considered monotone extensions for a nested sequence of generalized quantum spaces.
Dedicated to Professor Anatolij Dvurečenskij on the occasion of his 65th birthday (Communicated by Sylvia Pulmannová)
The second author acknowledges financial support by Council of Scientific and Industrial Research (CSIR), New Delhi (India), under Grant No. 09/001(0320)/2009-EMR-I.
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