Equivalent metrics and the spans of graphs

L. C. Hoehn, and A. Karassev. "Equivalent metrics and the spans of graphs." Colloquium Mathematicae 114.1 (2009): 135-153. <http://eudml.org/doc/283461>.

@article{L2009,
abstract = {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.},
author = {L. C. Hoehn, A. Karassev},
journal = {Colloquium Mathematicae},
keywords = {equivalent metric; span; continuum; graph},
language = {eng},
number = {1},
pages = {135-153},
title = {Equivalent metrics and the spans of graphs},
url = {http://eudml.org/doc/283461},
volume = {114},
year = {2009},
}

TY - JOUR
AU - L. C. Hoehn
AU - A. Karassev
TI - Equivalent metrics and the spans of graphs
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 1
SP - 135
EP - 153
AB - 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.
LA - eng
KW - equivalent metric; span; continuum; graph
UR - http://eudml.org/doc/283461
ER -