/sci/ - Science & Math

>>12753427
Yes of course the union of all the sets has to be the whole space. Then it is a basis for some topology. Good point. If there is only one set in your wnb-basis, then it is the (basis of) the trivial topology iff that set is the whole space.

>>12621071
If you are Euro, you don't necessarily need to worry. My supervisor always says that publishing anything during the first two years is an achievement of its own.

>>12519609
I can state the problem. Ready? Here it comes:
If G is a group and H is a subset of G, is H a subgroup of G?

>>12472366
I really recommend you do, but I think he is going against the usual conventions with this separation axioms a bit in that, so beware! If I remember correctly, his T3 is what most authors would call regular and vice versa (and same for T4 and normal). I agree with the intuition vs writing thing. I remember how it took me ages to write the proof that the suspension of a sphere is homeomorphic to the sphere one dimension higher despite it being pretty obvious after just a few minutes of thinking. It's just so easy to get intimidated by all the scary sounding stuff, but then you find a gap in the seemingly impenetrable wall and boom! Which year are you?