2011
DOI: 10.1016/j.topol.2010.12.002
|View full text |Cite
|
Sign up to set email alerts
|

Interpolating functions

Abstract: Let X, Y be sets with quasiproximities X and Y (where A B is interpreted as "B is a neighborhood of A"). Let f , g : X → Y be a pair of functions such that whenever C Y D,whenever C Y D, is continuous, many classical "sandwich" or "insertion" theorems are corollaries of this result. The paper is written to emphasize the strong similarities between several concepts• the posets with auxiliary relations studied in domain theory; • quasiproximities and their simplification, Urysohn relations; and • the axioms assu… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2018
2018
2018
2018

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 13 publications
0
1
0
Order By: Relevance
“…We start by recalling the definition of a Urysohn relation [7]. A binary relation on a partially ordered set (L, ≤) is called a Urysohn relation if it satisfies the following conditions:…”
Section: Definitionmentioning
confidence: 99%
“…We start by recalling the definition of a Urysohn relation [7]. A binary relation on a partially ordered set (L, ≤) is called a Urysohn relation if it satisfies the following conditions:…”
Section: Definitionmentioning
confidence: 99%