This chapter provides the foundational concepts. It covers sets, rings, algebras, \(\sigma \) -algebras of sets, \(F_\sigma \) and \(G_\delta \) sets, and Borel sets. The construction of a \(\sigma \) -algebra is also included.

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Preliminaries

  • Satya N. Mukhopadhyay,
  • Subhasis Ray

摘要

This chapter provides the foundational concepts. It covers sets, rings, algebras, \(\sigma \) -algebras of sets, \(F_\sigma \) and \(G_\delta \) sets, and Borel sets. The construction of a \(\sigma \) -algebra is also included.