In mathematics, a closed n-manifold N embedded in an (n + 1)-manifold M is boundary parallel (or ∂-parallel, or peripheral) if there is an isotopy of N onto a boundary component of M.
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Famous quotes containing the words boundary and/or parallel:
“If you meet a sectary, or a hostile partisan, never recognize the dividing lines; but meet on what common ground remains,—if only that the sun shines, and the rain rains for both; the area will widen very fast, and ere you know it the boundary mountains, on which the eye had fastened, have melted into air.”
—Ralph Waldo Emerson (1803–1882)
“The beginnings of altruism can be seen in children as early as the age of two. How then can we be so concerned that they count by the age of three, read by four, and walk with their hands across the overhead parallel bars by five, and not be concerned that they act with kindness to others?”
—Neil Kurshan (20th century)