Homotopy: Difference between revisions

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In [[topology]] for two topological spaces <math>X</math> and <math>Y</math> 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>.
In [[topology]] for two topological spaces <math>X</math> and <math>Y</math> 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:Suggestion Bot Tag]]

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In topology for two topological spaces and two continuous maps are called homotopic if there is a continuous map such that and for all in .