2005•Unpublished venueRequires access

Limit of Sequence of Subsets

Bo Zhang, Hiroshi Yamazaki, Yatsuka Nakamura

Abstract

A concept of “limit of sequence of subsets” is defined here. This article contains the following items: 1. definition of the superior sequence and the inferior sequence of sets, 2. definition of the superior limit and the inferior limit of sets, and additional properties for the sigma-field of sets, 3. definition of the limit value of a convergent sequence of sets, and additional properties for the sigma-field of sets.

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Available abstract

Key concepts: Limit (mathematics), Sequence (biology), Limit of a sequence, Mathematics, Field (mathematics), Sigma, Limit point, Value (mathematics)