Some questions of Arhangel'skii on rotoids

• Autorzy: Harold Bennett , Dennis Burke , David Lutzer
• Języki publikacji: EN

Abstrakty

EN

A rotoid is a space X with a special point e ∈ X and a homeomorphism F: X² → X² having F(x,x) = (x,e) and F(e,x) = (e,x) for every x ∈ X. If any point of X can be used as the point e, then X is called a strong rotoid. We study some general properties of rotoids and prove that the Sorgenfrey line is a strong rotoid, thereby answering several questions posed by A. V. Arhangel'skii, and we pose further questions.

Kategorie tematyczne

• 54F05: Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces
• 54H11: Topological groups
• 54B05: Subspaces
• 54H10: Topological representations of algebraic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 216
• Numer: 2
• Strony: 147-161

Daty

wydano

2012

Twórcy

autor

Harold Bennett

• Mathematics Department, Texas Tech University, Lubbock, TX 79409, U.S.A.

autor

Dennis Burke

• Mathematics Department, Miami University, Oxford, OH 45056, U.S.A.

autor

David Lutzer

• Mathematics Department, College of William and Mary, Williamsburg, VA 23187, U.S.A.

Identyfikatory

DOI

10.4064/fm216-2-5