Homotopy: Difference between revisions

Revision as of 14:45, 16 March 2008

In topology two continuous maps $f,g:X\to Y$ are called homotopic if there is a continuous map $F:X\times [0,1]\to Y$ such that $f(x)=F(x,0)$ and $g(x)=F(x,1)$ for all $x$ in $X$ .

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-In [[topology]] two continues maps <math>f,g:X\to Y</math> are called homotopic if there is a continues map <math>F:X\times[0,1]\to Y</math> such that <math>f(x)=F(x,0)</math> and <math>g(x)=F(x,1)</math> for all <math>x</math> in <math>X</math>.
+In [[topology]] two continuous maps <math>f,g:X\to Y</math> are called homotopic if there is a continuous map <math>F:X\times[0,1]\to Y</math> such that <math>f(x)=F(x,0)</math> and <math>g(x)=F(x,1)</math> for all <math>x</math> in <math>X</math>.
 [[category:CZ Live]]
 [[category:Mathematics Workgroup]]

Homotopy: Difference between revisions

Revision as of 14:45, 16 March 2008

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