HOMOGENEITY OF MAXIMAL ANTIPODAL SETS

Sasaki, Yuuki

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JOURNAL ARTICLE

HOMOGENEITY OF MAXIMAL ANTIPODAL SETS

Sasaki, Yuuki

Journal: OUKA (Osaka University Knowledge Archive) (Osaka University) Publisher: Osaka University

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Abstract

We introduce a concept of connectedness of antipodal sets of compact Riemannian symmetric spaces and construct a method to make a bigger antipodal set from a given antipodal set. Moreover, using the connectedness we give a sufficient condition that a given maximal antipodal set is homogeneous.

Keywords:

Antipodal point Social connectedness Homogeneity (statistics) Set (abstract data type) Set theory

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HOMOGENEITY OF MAXIMAL ANTIPODAL SETS

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