Simplicial Map
المؤلف:
Hatcher, A.
المصدر:
Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.
الجزء والصفحة:
...
17-5-2021
2159
Simplicial Map
Let 
and 
be simplicial complexes, and let 
be a map. Suppose that whenever the vertices 
, ..., 
of 
span a simplex of 
, the points 
, ..., 
are vertices of a simplex of 
. Then 
can be extended to a continuous map 
such that
implies
The map 
is then called the linear simplicial map induced by the vertex map 
(Munkres 1993, p. 12).
REFERENCES:
Hatcher, A. Algebraic Topology. Cambridge, England: Cambridge University Press, 2002.
Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.
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