Hybrid topologies on the real line

Given A ⊆ ℝ , the Hattori space H(A) is the topological space ( ℝ , τA  ) where each a ∈ A has a τA -neighborhood base { ( a − ε , a + ε ) : ε > 0 } and each b ∈ ℝ − A has a τA -neighborhood base { [ b , b + ε ) : ε > 0 } . Thus, τA may be viewed as a hybrid of the Euclidean topology and the l...

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Bibliographic Details
Main Author: Tom Richmond
Format: Article
Language:English
Published: Universitat Politècnica de València 2023-04-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/18566