Ultraproducts in Topology
Format of Original
General Topology and its Applications
We define a reduced product (in particular an ultraproduct) construction in topology which yields a class of quotients of the box product. Retention of certain properties under the formation of ultraproducts, as well as the role of ultraproducts in the study of zero dimensional spaces are investigated. Certain analogies and disanalogies with the box product are also pointed out.
Bankston, Paul, "Ultraproducts in Topology" (1977). Mathematics, Statistics and Computer Science Faculty Research and Publications. 218.