Long Line (topology)
In topology, the long line (or Alexandroff line) is a topological space somewhat similar to the real line, but in a certain way "longer". It behaves locally just like the real line, but has different large-scale properties. Therefore it serves as one of the basic counterexamples of topology. Intuitively, the usual real-number line consists of a countable number of line segments [0, 1) laid end-to-end, whereas the long line is constructed from an uncountable number of such segments.
Read more about Long Line (topology): Definition, Properties, p-adic Analog
Famous quotes containing the words long and/or line:
“The end may justify the means as long as there is something that justifies the end.”
—Leon Trotsky (18791940)
“What, will the line stretch out to the crack of doom?”
—William Shakespeare (15641616)