Statement:
An infinite box product of regular \(T_1\) spaces, each of cardinality greater than 1, is neither first countable nor connected.
Howard_Rubin_Number: 177
Parameter(s): This form does not depend on parameters
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Knight-1964: Boxtopologies
Brunner-1981a: Boxproducte und Auswahlaxiom
Book references
Note connections:
Note 52
There is a model of ZF in which \({\Bbb R}^{A}\) is metrizable and connected, ... (box product)