If pick open sets and (all open in their respective topologies) such that and and . What happens if ?
Let pick such that , and then what about and
If ( X , T) & ( Y , J ) are both Hausdrff space`s , so is ( X x Y , P X x Y ) .
remark:- P X x Y = the topology of the basis of ( X x Y )
A subspace of a Hausdrff space is also a Hausdrff space .
Whith many many thnx
the first section is 100% true
but then ....???
Let pick such that , and then what about and [/QUOTE]
how came Y be a subset of X ??!!!!!
now i think that , we begin with
then same how we will get a contradiction ( how i don`t know ) ???