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noun, plural ho·mot·o·pies. Mathematics.
the relation that exists between two mappings in a topological space if one mapping can be deformed in a continuous way to make it coincide with the other.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Based on the Random House Dictionary, © Random House, Inc. 2012.
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Homotopy
is always a great word to know.
So is quotient. Does it mean:
| a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded |
| the result of division; the number of times one quantity is contained in another |
Encyclopedia Britannica
Encyclopedia
homotopy
in mathematics, a way of classifying geometric regions by studying the different types of paths that can be drawn in the region. Two paths with common endpoints are called homotopic if one can be continuously deformed into the other leaving the end points fixed and remaining within its defined region. In part A of the , the shaded region has a hole in it; f and g are homotopic paths, but g' is not homotopic to f or g since g' cannot be deformed into f or g without passing through the hole and leaving the region
Learn more about homotopy with a free trial on Britannica.com.
Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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