Statement:

Urysohn's Lemma:  If \(A\) and \(B\) are disjoint closed sets in a normal space \(S\), then there is a continuous \(f:S\rightarrow [0,1]\) which is 1 everywhere in \(A\) and 0 everywhere in \(B\). Urysohn [1925], pp 290-292.

Howard_Rubin_Number: 78

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:
Urysohn-1925: Uber die Machtigkeit der zusammenhangenden Mengen

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 78, 155, 106,

Back