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Articles 61 - 62 of 62
Full-Text Articles in Physical Sciences and Mathematics
Braid Group Actions On Rational Maps, Eriko Hironaka, Sarah Koch
Braid Group Actions On Rational Maps, Eriko Hironaka, Sarah Koch
Summer Conference on Topology and Its Applications
Rational maps are maps from the Riemann sphere to itself that are defined by ratios of polynomials. A special type of rational map is the ones where the forward orbit of the critical points is finite. That is, under iteration, the critical points all eventually cycle in some periodic orbit. In the 1980s Thurston proved the surprising result that (except for a well-understood set of exceptions) when the post-critical set is finite the rational map is determined by the “combinatorics” of how the map behaves on the post-critical set. Recently, there has been interest in the question: what happens if …
Uncountable Discrete Sets And Forcing, Akira Iwasa
Uncountable Discrete Sets And Forcing, Akira Iwasa
Summer Conference on Topology and Its Applications
Suppose that a space X has no uncountable discrete subspace. We will discuss if forcing can create an uncountable discrete subspace of X.