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Discussion of "tarmrsilondre"
[parent] [root]
Comment #2: Re: Pathologies
Curtis W Franks (Fri Mar 10 06:11:17 2017)

krtisfranks wrote:
> Thus, we may want to refine the definition.

The current definition is this:

"x1 is a set of points/shape (of any number of dimensions) such that
x1 is connected and there exists a line L such that for any line L' that
is parallel to L, if L' has nonempty intersection with x1, then there
exists exactly one subinterval (line segment, ray, or line) J of L' such
that J has nonzero (Lebesgue) measure and any subset of L' which nonemptily
intersects x1 is contained in J. An axially-perpendicular cross-section
of x1 probably is necessary to specify x2. See also: slanu,

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