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1d
accepted A trouble with the discrete product topology
1d
comment A trouble with the discrete product topology
Ok, it is clear.
1d
comment A trouble with the discrete product topology
So the sets of type $A$ (in the quotation) form a different basis from the standard basis of the product topology.
1d
comment A trouble with the discrete product topology
So do sets of type $A$ form a basis for the product topology?
1d
comment A trouble with the discrete product topology
for example $A=\{(a_n)\,:\, a_0=1,\, a_1=5,\, a_2=3\}$
1d
asked A trouble with the discrete product topology
1d
accepted Unclear inequality in the proof of Birkhoff ergodic theorem.
2d
accepted Intersection of countable many sets of measure $1$
2d
comment Intersection of countable many sets of measure $1$
Ok the measure of the complement is $\mu\left(\bigcup X\setminus A_n\right)=0$
2d
asked Intersection of countable many sets of measure $1$
Jul
18
accepted Projective roots of a homogeneous polynomial
Jul
18
comment Projective roots of a homogeneous polynomial
Yeah many thanks. I'm sorry for the stupid question.
Jul
18
comment Projective roots of a homogeneous polynomial
Oh yeah it is clear.
Jul
18
comment Projective roots of a homogeneous polynomial
@ZhenLin Lin $Y$ divides $F(X,Y)$ and...?
Jul
18
comment Projective roots of a homogeneous polynomial
Ok, but I don't understand why. Consider $F(X,Y)=F_0(Y)X^n+F_1(Y)X^{n-1}+\ldots+F_n(Y)$; I have at most $n$ solution of the type $(1:y)$ plus possibly $(0:1)$. Where is the mistake?
Jul
18
revised Projective roots of a homogeneous polynomial
edited body
Jul
18
asked Projective roots of a homogeneous polynomial
Jul
17
comment Unclear inequality in the proof of Birkhoff ergodic theorem.
@Bebop, yes you are right. Many thanks
Jul
16
revised Unclear inequality in the proof of Birkhoff ergodic theorem.
added 22 characters in body
Jul
16
asked Unclear inequality in the proof of Birkhoff ergodic theorem.