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Infinite Product Spaces Under the Tychonoff and Goofynoff Topologies

1973

The only topology considered for the infinite product of topological spaces in most current topology texts and research papers is the Tychonoff topology. Yet there is another topology which seems to be a much more topologically natural generalization of the usual "box" topology of finite products. We call this natural generalization the Goofynoff topology and exploit its properties. The use of the word "Goofynoff" (pronounced Goof'-n-off) is not universal and does not refer to any person of

doi:10.26076/5d51-f811
fatcat:o5bgmvycyfbtvmw5acggbutpyu