Quotient space of intervals

Authors

  • Gino Gustavo Maqui Huamán
  • Ulcilea Alves Severino Leal

DOI:

https://doi.org/10.5540/03.2022.009.01.0295

Keywords:

Interval space, linear space of intervals, quotient space of intervals.

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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Author Biographies

Gino Gustavo Maqui Huamán

Institute of Exact and Natural Sciences, Federal University of Pará, Brazil

 

Ulcilea Alves Severino Leal

Federal University of Triângulo Mineiro, Brazil

References

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Published

2022-12-08

Issue

Section

Trabalhos Completos