Paths in spaces of homeomorphisms on the plane

DOI10.1016/j.topol.2012.08.016zbMath1258.54003OpenAlexW2045613247MaRDI QIDQ714760

Robert A.McCoy

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.08.016

zbMATH Keywords

arcpathpath componentisotopy on the planeorientation reservingorientation reversingspace of homeomorphisms on the plane

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Connected and locally connected spaces (general aspects) (54D05)

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Cites Work

• Completeness properties of function spaces
• The Jordan-Schonflies Theorem and the Classification of Surface
• The Space of All Self-Homeomorphisms of a Two-Cell which Fix the Cell's Boundary is an Absolute Retract
• A Proof that the Group of all Homeomorphisms of the Plane onto Itself is Locally Arcwise Connected
• An Elementary Proof of the Jordan-Schoenflies Theorem
• Topologies for Homeomorphism Groups
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