5 papers
Groups of measure-preserving homeomorphisms of noncompact 2-manifolds
Tatsuhiko Yagasaki
Suppose M is a noncompact connected 2-manifold and m is a good Radon measure of M with m(partial M) = 0. Let H(M)_0 denote the identity component of the group of homeomorphisms of…
Homotopy types of the components of spaces of embeddings of compact polyhedra into 2-manifolds
Tatsuhiko Yagasaki
Suppose M is a connected PL 2-manifold and X is a compact connected subpolyhedron of M (X \neq 1pt, a closed 2-manifold). Let E(X, M) denote the space of topological embeddings of…
The groups of PL and Lipschitz homeomorphisms of noncompact 2-manifolds
Tatsuhiko Yagasaki
Suppose M is a noncompact connected PL 2-manifold. In this paper we study the topological property of the triple (H(M)_0, H^PL(M)_0, H^PL, c(M)_0), where H(M)_0 is the identity com…
Homotopy types of homeomorphism groups of noncompact 2-manifolds
Tatsuhiko Yagasaki
Suppose M is a noncompact connected PL 2-manifold and let H(M)_0 denote the identity component of the homeomorphism group of M with the compact-open topology. In this paper we clas…
Spaces of embeddings of compact polyhedra into 2-manifolds
Tatsuhiko Yagasaki
Let M be a PL 2-manifold and X be a compact subpolyhedron of M and let E(X, M) denote the space of embeddings of X into M with the compact-open topology. In this paper we study an…