Infinitary braid groupsmath.GT
Study of infinite-string braids as a limit of finite ones.
problem Properties of infinite-string braids.
method Investigate via direct limit of finite n-braid groups.
result Basic properties of countable-string braids.
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3 results for “infinitary”
Simplified and extended a method for rearranging infinite configurations of cubes.
problem Constructing homotopies for isotopically rearranging cubes.
method Simplified and extended Eda and Kawamura's procedure.
result Simplified and extended the construction of homotopies.
Study on homeomorphism groups of manifolds using set theory.
problem Relationship between set theory and homeomorphism groups of manifolds.
method First-order rigidity, type versus conjugacy, axiom of constructibility, projective determinacy.
result Under V=L, homeomorphism groups of manifolds are first-order rigid and conjugacy class is determined by type.