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Some topological and combinatorial properties preserved by inverse limits

  • Javier Camargo EMAIL logo and Carlos Uzcátegui
Published/Copyright: January 22, 2019
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 69 Issue 1

Abstract

We show that the following properties are preserved under inverse limits: countable fan-tightness, q+, discrete generation and selective separability. We also present several examples based on inverse limits of countable spaces.

MSC 2010: Primary 54D55; 54B10; Secondary 54D65; 54H05
Keywords: countable fan-tightness; q+ ideals; inverse limits; selective separability; discrete generation; analytic topologies

The authors thank La Vicerrectoría de Investigación y Extensión de la Universidad Industrial de Santander for the financial support for this work, which is part of the VIE project # C-2018-05.

  1. (Communicated by Ľubica Holá)

Acknowledgement

We are thankful to the referee for his (her) comments that improved the presentation of the paper.

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Received: 2017-09-15
Accepted: 2018-03-26
Published Online: 2019-01-22
Published in Print: 2019-02-25

© 2019 Mathematical Institute Slovak Academy of Sciences

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  4. Distributive nearlattices with a necessity modal operator
  5. States in generalized probabilistic models: An approach based in algebraic geometry
  6. Free power-associative n-ary groupoids
  7. On the 2-class field tower of subfields of some cyclotomic ℤ2-extensions
  8. On the space of generalized theta-series for certain quadratic forms in any number of variables
  9. Uniqueness and periodicity for meromorphic functions with partial sharing values
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  17. Compositions of porouscontinuous functions
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https://doi.org/10.1515/ms-2017-0212
Keywords for this article
countable fan-tightness; q+ ideals; inverse limits; selective separability; discrete generation; analytic topologies

Articles in the same Issue

  1. Prof. RNDr. pavel brunovský, DrSc. passed away ∗dec. 5, 1934 – † dec. 14, 2018
  2. Ideals and congruences in pseudo-BCH algebras
  3. Regular double p-algebras
  4. Distributive nearlattices with a necessity modal operator
  5. States in generalized probabilistic models: An approach based in algebraic geometry
  6. Free power-associative n-ary groupoids
  7. On the 2-class field tower of subfields of some cyclotomic ℤ2-extensions
  8. On the space of generalized theta-series for certain quadratic forms in any number of variables
  9. Uniqueness and periodicity for meromorphic functions with partial sharing values
  10. Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups
  11. An inverse boundary problem for fourth-order Schrödinger equations with partial data
  12. Entropy as an integral operator
  13. Global behavior of two third order rational difference equations with quadratic terms
  14. Measures on effect algebras
  15. Some topological and combinatorial properties preserved by inverse limits
  16. The convergence-theoretic approach to weakly first countable spaces and symmetrizable spaces
  17. Compositions of porouscontinuous functions
  18. A note on prime divisors of polynomials P(Tk); k ≥ 1
  19. On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications
  20. Common fixed point theorems for a class of (s, q)-contractive mappings in b-metric-like spaces and applications to integral equations
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