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23h
comment Lebsgue measure as a function
That is a nice counter example! So 1 is false. However,I still think 2 is true.
1d
asked Lebsgue measure as a function
1d
comment metric and measure on the projective space
Thank you so much for your answers. I want make sure I understood what you mean in Q3. So a set $E$ in $RP^n$ is measurable if the inverse of $E$ under the projection map is measurable, and the measure of $E$ is defined as the measure of its inverse. Am I right?
2d
asked metric and measure on the projective space
Apr
8
comment existence of certain weak local homeomorphisms
Great! Thank you so much. Your answer reminded me of the Urysohn's lemma for locally compact Hausdorff space (I found it in Folland's real analysis book).
Apr
8
comment existence of certain weak local homeomorphisms
Thank you for your quick answer. However, I guess you misunderstood my PS. I revised the PS.
Apr
8
revised existence of certain weak local homeomorphisms
added 3 characters in body
Apr
8
awarded  Editor
Apr
8
revised existence of certain weak local homeomorphisms
add a weaker statement
Apr
8
asked existence of certain weak local homeomorphisms
Mar
6
asked on the factorization of maps between connected CW complexes
Feb
21
awarded  Supporter
Jan
14
asked $f^2+2f+1$ is a polynomial implies that $f$ is a polynomial
Oct
22
asked sufficient conditions for being a PID
Oct
13
awarded  Student
Oct
13
asked Does every non-commutative ring have the same numbers of left ideals and right ideals?