Statement:

Theorem of Gelfand and Kolmogoroff: Two compact \(T_2\) spaces are  homeomorphic if their rings of real valued continuous functions are isomorphic.

Howard_Rubin_Number: 156

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:
Gelfand-Kolmogoroff-1939: On rings of continuous functions on topological spaces

Book references

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 1,

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