Almost locally connected spaces

Journal of the Australian Mathematical Society

Vincent J. Mancuso¹ 

关键词: 54 D 05;    54 G 10;    54 D 10;   

DOI  :  10.1017/S1446788700024216

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

This paper introduces the concept of an almost locally connected space. Every locally connected space is almost locally connected, and the concepts are equivalent in the class of semi-regular spaces. Almost local connectedness is hereditary for regular open subspaces, is preserved by continuous open maps, but not generally by quotient maps. It is productive in the presence of almost-regularity.

【 授权许可】

Unknown