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Metric, stratifiable and uniform spaces of G-permutation degree

  • Ruzinazar B. Beshimov , Dimitrios N. Georgiou EMAIL logo , Fotini Sereti und Rustam M. Zhuraev
Veröffentlicht/Copyright: 13. Mai 2024
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 74 Heft 1

Abstract

In this paper, we study the space SPGn X of G-permutation degree. Especially, new properties of this space are investigated. We study its metrazibility, semi-metrazibility, stratifiability, semi-stratifiability and uniformizability. Moreover, we study the uniform space (SPGnX,SPGnΥ), investigating when this space is totally bounded (ω-bounded). Finally, a study of universal elements in classes of spaces that are presented in this article, and related open questions complete this paper.

MSC 2010: Primary 54B20; 54E18; 54E20; 54D50
Keywords: Metrizable space; stratifiable space; semi-stratifiable space; semi-metrizable space; uniform space; the space of G-permutation degree

  1. (Communicated by L’ubica Holá)

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Received: 2022-11-11
Accepted: 2023-02-25
Published Online: 2024-05-13
Published in Print: 2024-02-26

© 2024 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. Prof. RNDr. Gejza Wimmer, DrSc. – 3/4 C?
  2. On hyper (r, q)-Fibonacci polynomials
  3. The pointfree version of 𝓒c(X) via the ranges of functions
  4. On the x-coordinates of Pell equations that are products of two Pell numbers
  5. Subordination properties and coefficient problems for a novel class of convex functions
  6. Certain radii problems for 𝓢∗(ψ) and special functions
  7. On direct and inverse Poletsky inequalities with a tangential dilatation
  8. Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
  9. Hermite interpolation of type total degree associated with certain spaces of polynomials
  10. Decomposition in direct sum of seminormed vector spaces and Mazur–Ulam theorem
  11. A fixed point technique to the stability of Hadamard 𝔇-hom-der in Banach algebras
  12. Compact subsets of Cλ,u(X)
  13. Variations of star selection principles on hyperspaces
  14. On lower density operators
  15. Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds G͠2t,3
  16. On the von Bahr–Esseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
  17. Large deviations for some dependent heavy tailed random sequences
  18. Metric, stratifiable and uniform spaces of G-permutation degree
  19. In memory of Paolo
https://doi.org/10.1515/ms-2024-0018
Schlagwörter für diesen Artikel
Metrizable space; stratifiable space; semi-stratifiable space; semi-metrizable space; uniform space; the space of G-permutation degree

Artikel in diesem Heft

  1. Prof. RNDr. Gejza Wimmer, DrSc. – 3/4 C?
  2. On hyper (r, q)-Fibonacci polynomials
  3. The pointfree version of 𝓒c(X) via the ranges of functions
  4. On the x-coordinates of Pell equations that are products of two Pell numbers
  5. Subordination properties and coefficient problems for a novel class of convex functions
  6. Certain radii problems for 𝓢∗(ψ) and special functions
  7. On direct and inverse Poletsky inequalities with a tangential dilatation
  8. Fourth-order nonlinear strongly non-canonical delay differential equations: new oscillation criteria via canonical transform
  9. Hermite interpolation of type total degree associated with certain spaces of polynomials
  10. Decomposition in direct sum of seminormed vector spaces and Mazur–Ulam theorem
  11. A fixed point technique to the stability of Hadamard 𝔇-hom-der in Banach algebras
  12. Compact subsets of Cλ,u(X)
  13. Variations of star selection principles on hyperspaces
  14. On lower density operators
  15. Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds G͠2t,3
  16. On the von Bahr–Esseen inequality for pairwise independent random vectors in Hilbert spaces with applications to mean convergence
  17. Large deviations for some dependent heavy tailed random sequences
  18. Metric, stratifiable and uniform spaces of G-permutation degree
  19. In memory of Paolo
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