How Is the Notation h:X-->Y Interpreted in Mathematics?

[Prof. 27]

Homework Statement

Hi, the problem is, I'm unsure of how this is read. The context is that I'm currently reading on group homomorphisms and they use this notation. I think it is also used in composition of functions, but I'm unsure of how it is read there as well.

h:X-->Y

So how would I say h:X-->Y?

Homework Equations

None

The Attempt at a Solution

Searched for a significant time span.

 

[Stephen Tashi]

"h:X-->Y" means "h is a function with domain X and codomain Y"

People read this informally in various ways:

or "h is a function mapping X into Y"

or "h is a function from X into Y"

or "h maps X into Y"

 

[Prof. 27]

Thank you so much.

 

[HallsofIvy]

Since you are "reading on group homomorphisms" you might interpret that as meaning "h is a homomorphism from group X to group Y".