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"push-forward" ?
Can someone help me understand what this is, in as simple terms as possible?
If I have a function [tex]f: A\rightarrow B[/tex] and another one [tex]g:B\rightarrow C[/tex] I know the "pullback" [tex]f^{*}g: A\rightarrow C[/tex] is [tex]f^{*}g = g\circ f[/tex] (correct?)
But what about the push forward [tex]f_{*}g[/tex]? What is that?
Thanks for any help.
Can someone help me understand what this is, in as simple terms as possible?
If I have a function [tex]f: A\rightarrow B[/tex] and another one [tex]g:B\rightarrow C[/tex] I know the "pullback" [tex]f^{*}g: A\rightarrow C[/tex] is [tex]f^{*}g = g\circ f[/tex] (correct?)
But what about the push forward [tex]f_{*}g[/tex]? What is that?
Thanks for any help.