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Recursive and r.e. quotient Boolean algebras

✍ Scribed by John J. Thurber

Publisher: Springer
Year: 1994
Tongue: English
Weight: 589 KB
Volume: 33
Category: Article
ISSN: 0933-5846
DOI: 10.1007/bf01352933

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## S(z A y ) z S(A), by (c) * S(z) A S(Y) 2 S(A) e S(x) 2 S(A) and S(y) 2 S(A) e C ( s ) s C ( A ) 'and C ( y ) E C ( A ) , by (c) o x € C ( A ) and Y E C ( A ) . Now every ultrafilter is consistent and closed with respect to C, since if U is an ultrafilter and C ( U ) = X , then C({,uu,, . . ., ,