- #1
Kreizhn
- 743
- 1
Hey,
I'm reading through a book and have come across something that seems like an obvious error to me. The books says
Now it's been a long time since I've done any topology, but isn't this the box topology rather than the product topology? I just want to make sure I'm not going crazy.
I'm reading through a book and have come across something that seems like an obvious error to me. The books says
If [itex] (X,T_X) [/itex] and [itex] (Y,T_Y) [/itex] are topological spaces, there's a standard way to define a topology on the Cartesian product [itex] X \times Y[/itex]. If we let
[tex] \mathbb B = \{ O_X \times O_Y : O_X \in T_X, O_Y \in T_Y \} [/tex]
then the topology generated by this basis is called the product topology on [itex] X \times Y [/itex]
Now it's been a long time since I've done any topology, but isn't this the box topology rather than the product topology? I just want to make sure I'm not going crazy.