Equivalent metrics and the spans of graphs

• Autorzy: L. C. Hoehn , A. Karassev
• Języki publikacji: EN

Abstrakty

EN

We present a result which affords the existence of equivalent metrics on a space having distances between certain pairs of points predetermined, with some restrictions. This result is then applied to obtain metric spaces which have interesting properties pertaining to the span, semispan, and symmetric span of metric continua. In particular, we show that no two of these variants of span agree for all simple closed curves or for all simple triods.

Kategorie tematyczne

• 54E35: Metric spaces, metrizability
• 54F50: Spaces of dimension ≤ 1 ; curves, dendrites
• 54F15: Continua and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 1
• Strony: 135-153

Daty

wydano

2009

Twórcy

autor

L. C. Hoehn

• Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, ON, Canada M5S 2E4

autor

A. Karassev

• Computer Science and Mathematics Department, Nipissing University, 100 College Drive, Box 5002, North Bay, ON, Canada P1B 8L7

Identyfikatory

DOI

10.4064/cm114-1-11