A regular space with a countable network and different dimensions-Reference-Cited by-同舟云学术

A regular space with a countable network and different dimensions

Published:2000-04-19 Issue:9 Volume:352 Page:4095-4111
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Delistathis George,Watson Stephen

Abstract

In this paper, we construct a regular space with a countable network (even the union of countably many separable metric subspaces) in which i n d ind and d i m dim do not coincide under the assumption of the continuum hypothesis (CH). This gives a consistent negative answer to a question of A.V. Arhangel’skiĭ.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2000-352-09/S0002-9947-00-02473-9/S0002-9947-00-02473-9.pdf

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