2022Proceeding Series of the Brazilian Society of Computational and Applied MathematicsOpen access

Quotient space of intervals

Gino Gustavo Maqui Huamán, Ulcilea Alves Severino Leal

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Abstract

This article studies the quotient space of intervals, for this is defined an equivalence relation considering a symmetric difference, is obtained the quotient space of intervals where is defined a specific representative of the equivalence class, and an appropriated norm and metric is defined to proof that this space is a complete metric space.

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This article studies the quotient space of intervals, for this is defined an equivalence relation considering a symmetric difference, is obtained the quotient space of intervals where is defined a specific representative of the equivalence class, and an appropriated norm and metric is defined to proof that this space is a complete metric space.

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Available abstract

This article studies the quotient space of intervals, for this is defined an equivalence relation considering a symmetric difference, is obtained the quotient space of intervals where is defined a specific representative of the equivalence class, and an appropriated norm and metric is defined to proof that this space is a complete metric space.

Key concepts: Quotient space (topology), Quotient, Equivalence class (music), Mathematics, Equivalence relation, Quotient algebra, Equivalence (formal languages), Metric space

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