<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Let <italic>Tψ </italic>be the <italic>ψ</italic>-density topology for a fixed function <italic>ψ</italic>. We will examine some new properties of the family of <italic>ψ</italic>-continuous functions (that means continuous functions ƒ<italic></italic>: ℝ →<italic></italic>ℝ with <italic>ψ</italic>-density topology <italic>Tψ </italic>in its domain and range). In the second part of the article we will discuss functions preserving <italic>ψ</italic>-density points</p></abstract>

Let Tψ be the ψ-density topology for a fixed function ψ. We will examine some new properties of the family of ψ-continuous functions (that means continuous functions ƒ: ℝ →ℝ with ψ-density topology Tψ in its domain and range). In the second part of the article we will discuss functions preserving ψ-density points

Ψ-continuous functions and functions preserving ψ-density points

Institute of Mathematics Łódź University ul. Stefana Banacha 22 PL–90-238 Łódź POLAND

Center of Mathematics and Physics Łódź Technical University al. Politechniki 11 PL–90-924 Łódź POLAND

Tatra Mountains Mathematical Publications

{"article-title":"Ψ-continuous functions and functions preserving ψ-density points"}

Let Tψ be the ψ-density topology for a fixed function ψ. We will examine some new properties of the family of ψ-continuous functions (that means continuous...

Ψ-continuous functions and functions preserving ψ-density points

Publié en ligne: 12 nov. 2012

Pages: 175 - 186

DOI: https://doi.org/10.2478/v10127-009-0016-7

Mots clés
density point, density topology, ψ-density topology

This content is open access.

Ψ-continuous functions and functions preserving ψ-density points

Publié en ligne: 12 nov. 2012

Pages: 175 - 186

DOI: https://doi.org/10.2478/v10127-009-0016-7

Mots clésdensity point, density topology, ψ-density topology

This content is open access.

Mots clés
density point, density topology, ψ-density topology