Mon, Sept. 25 Last time, we introduced the product topology on Y X↵, which had basis bprod = 8< : Yj Uj | Uj ✓ Xj is open
![SOLVED:Let X Icea *a the cartesian product collection of topological spaces {Xa}aea : Recall that the box topology on X is the topology generated by sets of the form {f € xlf(8) SOLVED:Let X Icea *a the cartesian product collection of topological spaces {Xa}aea : Recall that the box topology on X is the topology generated by sets of the form {f € xlf(8)](https://cdn.numerade.com/ask_images/9ec7f4a59e9d4722a404ef2b4e92909d.jpg)
SOLVED:Let X Icea *a the cartesian product collection of topological spaces {Xa}aea : Recall that the box topology on X is the topology generated by sets of the form {f € xlf(8)
![Why is the product of (-1/n ,1/n) not open in the product topology, but open in the box topology? - Quora Why is the product of (-1/n ,1/n) not open in the product topology, but open in the box topology? - Quora](https://qph.cf2.quoracdn.net/main-thumb-255423725-200-ehhidnkbaatckerlzifsshuwpmtvjfti.jpeg)