Homotopy types of the components of spaces of embeddings of compact polyhedra into 2-manifolds

DOI10.1016/j.topol.2004.03.008zbMath1084.57019arXivmath/0211104OpenAlexW1980340832MaRDI QIDQ2577111

Tatsuhiko Yagasaki

Publication date: 16 December 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211104

zbMATH Keywords

2-manifoldshomeomorphism groupsembedding spaces

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Classification of homotopy type (55P15) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Topology of infinite-dimensional manifolds (57N20)

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Cites Work

• Spaces of embeddings of compact polyhedra into 2-manifolds
• Homotopy types of homeomorphism groups of noncompact 2-manifolds
• Embedding spaces and hyperspaces of polyhedra in 2-manifolds
• Curves von 2-manifolds and isotopies
• Homotopy groups of the space of homeomorphisms on a 2-manifold
• The space of homeomorphisms of a 2-manifold
• The Space of Homeomorphisms on a Compact Two-Manifold is an Absolute Neighborhood Retract
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