Statement:

\(A(F,A1)\): For every \(T_2\) topological space \((X,T)\), if \(X\) is a continuous finite to one image of an A1 space then \((X,T)\) is  an A1 space. (\((X,T)\) is A1 means if \(U \subseteq  T\) covers \(X\) then \(\exists f : X\rightarrow U\) such that \((\forall x\in X) (x\in f(x)).)\)

Howard_Rubin_Number: 146

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-1983d: The axiom of choice in topology

Book references

Note connections:
Note 26 A summary of the definitions and results from Brunner [1983d]

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

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