ScholarLens Back to search
2007•Scientiae mathematicae JaponicaeRequires access

δθ-REFINABILITY OF PRODUCT SPACES

Keiko Chiba, Yoshifumi Shirayama

Open publisher page 1 citations

Abstract

In this paper we shall show: (1) Let X be a zero-dimensional metric space and Y be a δθ-refinable P -space. Then X × Y is δθ-refinable. (2) Let X be an almost expandable strong Σ-space and Y be a strong δθ-refinable P -space. Then X × Y is δθ-refinable. (3) Let X be a metrizable space and Y be a w-δθ-refinable P -space. Then X × Y is w-δθ-refinable. Similar results of (3) for analogous properties also hold.

About this research paper

What this paper is about

In this paper we shall show: (1) Let X be a zero-dimensional metric space and Y be a δθ-refinable P -space. Then X × Y is δθ-refinable. (2) Let X be an almost expandable strong Σ-space and Y be a strong δθ-refinable P -space. Then X × Y is δθ-refinable. (3) Let X be a metrizable space and Y be a w-δθ-refinable P -space. Then X × Y is w-δθ-refinable. Similar results of (3) for analogous properties also hold.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper we shall show: (1) Let X be a zero-dimensional metric space and Y be a δθ-refinable P -space. Then X × Y is δθ-refinable. (2) Let X be an almost expandable strong Σ-space and Y be a strong δθ-refinable P -space. Then X × Y is δθ-refinable. (3) Let X be a metrizable space and Y be a w-δθ-refinable P -space. Then X × Y is w-δθ-refinable. Similar results of (3) for analogous properties also hold.

Key concepts: Metrization theorem, Space (punctuation), Mathematics, Product (mathematics), Product topology, Metric (unit), Metric space, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
δθ-REFINABILITY OF PRODUCT SPACES — Research Paper | ScholarLens