# Conditional probability in Renyi spaces

## TL;DR

This paper introduces a general concept of conditional probability within Renyi spaces, extending classical probability theory to include unbounded measures and broadening the theoretical framework.

## Contribution

It develops a new axiomatic approach to conditional probability in Renyi spaces, expanding the foundational understanding of probability measures.

## Key findings

- Defines a general concept of conditional probability in Renyi spaces
- Extends classical probability theory to unbounded measures
- Provides a theoretical foundation for future research in measure theory

## Abstract

In 1933 Kolmogorov constructed a general theory that defines the modern concept of conditional probability. In 1955 Renyi fomulated a new axiomatic theory for probability motivated by the need to include unbounded measures. This note introduces a general concept of conditional probability in Renyi spaces. Keywords: Measure theory; conditional probability space; conditional expectation