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Sequential continuity on dyadic compacta and topological groups. (English) Zbl 0887.54013
Conditions are studied under which sequentially continuous functions on topological spaces are continuous. In particular, it is shown that, for products of separable metric spaces, the question depends on set theory.

MSC:
54C08 Weak and generalized continuity
54E45 Compact (locally compact) metric spaces
54H11 Topological groups (topological aspects)
03E35 Consistency and independence results
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