TL;DR
This paper explores the concept of transfunctions, which are maps between measure spaces, treating them as generalized functions that connect the underlying measurable spaces.
Contribution
It introduces a framework for understanding maps between measure spaces as generalized functions, extending classical notions of functions between sets.
Findings
Provides a formal definition of transfunctions.
Establishes properties and examples of transfunctions.
Lays groundwork for further analysis of measure space mappings.
Abstract
Maps between spaces of measures on measurable spaces and are treated as generalized functions between and .
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Taxonomy
TopicsAdvanced Topics in Algebra · advanced mathematical theories · Mathematical and Theoretical Analysis