Statement:  \(LC\): There are no non-trivial Läuchli continua. (A Läuchli continuum is a strongly connected continuum. Continuum \(\equiv\) compact, connected, Hausdorff space; and strongly connected \(\equiv\) every continuous real valued function is constant.)

Howard_Rubin_Number: 155

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:
Brunner-1983a: Geordnete Lauchli Kontinuen
Lauchli-1962: Auswahlaxiom in der Algebra

Book references

Note connections:

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

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