A few Remarks on n-infinite Forcing Companions
On the preservation of separation axioms in products
We give sufficient and necessary conditions to be fulfilled by a filter and an ideal in order that the -quotient space of the -ideal product space preserves -properties () (“in the sense of the Łos theorem”). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.
Reduced products of infinite forcing systems.
A note on infinite forcing.
The Feferman-Vaught theorem for reduced ideal-products.
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