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Andrew Brooke-Taylor (University of Leeds)

Category
Models and Sets Seminar
Date
Date
Tuesday 25 January 2022
Category

Products of CW complexes

It's been a couple of years since I've spoken about CW complexes in a Leeds seminar, so for the benefit of newcomers and with apologies to the old hands who've seen it all before, this talk will be about my result on products of CW complexes. CW complexes are "nice" spaces that are often seen as good spaces to focus on for algebraic topology, avoiding many point-set-theoretic "pathologies". However, the product (as topological spaces) of two CW complexes need not be a CW complex. After giving all the necessary definitions I will go through my characterisation of exactly when the product is a CW complex; this characterisation involves the uncountable cardinal $\mathfrak{b}$.