seriously disabled Posted February 1, 2010 Share Posted February 1, 2010 In the commutative diagrams page in wolfram, what does the [math]\phi_{i_{0}}[/math] above the arrows mean? Link to comment Share on other sites More sharing options...
ajb Posted February 1, 2010 Share Posted February 1, 2010 In this context, [math]\phi_{i_{0}}: A_{i_{0}} \longrightarrow B_{i_{0}}[/math] is a map between the sets. It is often written as [math]A_{i_{0}}\stackrel{\phi_{i_{0}}}{\longrightarrow} B_{i_{0}}[/math]. Does that help? Link to comment Share on other sites More sharing options...
seriously disabled Posted February 1, 2010 Author Share Posted February 1, 2010 Yes and thanks for the clarification ajb. Link to comment Share on other sites More sharing options...
ajb Posted February 1, 2010 Share Posted February 1, 2010 Yes and thanks for the clarification ajb. No problem. Commutative diagrams are the "bread and butter" of category theory. As such, they appear all over the place in mathematics. The idea is very simple. It does not matter which way you follow the arrows around. Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now