Cactoid
From Encyclopedia of Mathematics
A locally connected continuum 
that is the closure of the sum of at most a countable number of spheres 
and simple arcs 
located in Euclidean space 
, and such that for each closed contour 
there exists exactly one sphere 
containing it. Cactoids, and they alone, are monotone images of the 
-dimensional sphere 
; also, every cactoid is a monotone open image of 
.
How to Cite This Entry:
Cactoid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cactoid&oldid=12209
Cactoid. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Cactoid&oldid=12209
This article was adapted from an original article by B.A. Efimov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article