Shadowing and expansivity in subspaces

• Autorzy: Andrew D. Barwell , Chris Good , Piotr Oprocha
• Języki publikacji: EN

Abstrakty

EN

We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive properties, we demonstrate under what conditions certain expanding maps have shadowing, and generalize some known results in this area. We also investigate the impact of our theory on maps of the interval.

Kategorie tematyczne

• 54H20: Topological dynamics
• 54F15: Continua and generalizations
• 37B45: Continua theory in dynamics
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 219
• Numer: 3
• Strony: 223-243

Daty

wydano

2012

Twórcy

autor

Andrew D. Barwell

• Heilbronn Institute for Mathematical Research, University of Bristol, Howard House, Queens Avenue, Bristol, BS8 1SN, UK

autor

Chris Good

• School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK

autor

Piotr Oprocha

• Faculty of Applied Mathematics, AGH University, of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm219-3-2