Year: 2009
Type: article
Abstract: Let F ⊆ ω ω, where ω ω is the set of all functions from ω to ω. Define a topological space ⟨X, τ (F )⟩ such that X = {p * } ∪ [ω × ω], each point in ω × ω is isolated, and a neighborhood of p * has the form {p * } ∪ {⟨n, m⟩ : n ≥ k, m ≥ f (n)} for some k ∈ ω and f ∈ F .We investigate ⟨X, τ (F )⟩ where F is a dominating subfamily, an unbounded subfamily, or a bounded subfamily of ω ω.
Author: Akira Iwasa
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W756368704