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 Apr16 comment Are intersection of power set and power set of intersection equal? @dave : in addition to the above, I strongly urge you to justify things like this to yourself. When you read something of the form "X if and only if Y", take it as a personal exercise; stop and try to prove that X implies Y and Y implies X. In this case, the implications follow directly from the definitions of what things mean. Apr15 answered Are intersection of power set and power set of intersection equal? Apr9 comment Root space of eigenvalues of a linear map $\mathbb{C}^n$ is basically just finding the Jordan form of the operator. I guess my concern is that the basis for $\mathbb{C}^n$ that puts the matrix in Jordan form may not be vectors in $\mathbb{R}^n$, so I can't just directly use that decomposition? Apr7 revised Root space of eigenvalues of a linear map deleted 15 characters in body Apr7 comment Root space of eigenvalues of a linear map I abused notation slightly and was referring to all of the root spaces with the notation $E_\lambda$. I assumed it was obvious from context. I will edit accordingly. Apr7 asked Root space of eigenvalues of a linear map Apr1 awarded Custodian Mar4 awarded Tumbleweed Mar4 accepted Several questions concerning Alexander's Theorem Mar3 answered an open subspace of compact space Mar3 comment Several questions concerning Alexander's Theorem math.cornell.edu/~hatcher/3M/3M.pdf specifically the proof begins on page 1 of this document Mar3 comment Several questions concerning Alexander's Theorem Forgive me for being dense, but I really don't understand what you've written for question 2. I need to produce a map from the 3 ball to the region bounded by my topological disk. It looks like you're taking a point $(x,y,z)$ in the lower part of the 3 ball and mapping it onto a point $(x',y',z')$ in the region bounded by the topological disk so that $(x',y'z')$ has $(u,v)$ coordinates $(x,y)$; if this is true, then $(x',y',z')$ lies on the surface of the disk, not inside of it. Mar3 asked Several questions concerning Alexander's Theorem Mar1 comment Inclusions in typologies induced by euclidean and square metric Right, so, think about it like this: $d$ and $\rho$ are two "measuring systems"; maybe $d$ gives you how far apart two points are in inches and $\rho$ tells you how far apart two points are in centimeters. An inch is larger than a centimeter, so if I wanted to look at all points within 1 unit of $x$, any point which is within one centimeter of $x$ is certainly within one inch of $x$ Mar1 accepted Smooth structure after surgery Mar1 answered Prove that if f is continuous, than its borel function. Mar1 comment Inclusions in typologies induced by euclidean and square metric What is it you're finding conceptually difficult about this result? Try drawing a picture of both "balls" in $\mathbb{R}^2$. Mar1 awarded Curious Feb28 asked Smooth structure after surgery Feb25 revised Analytic solution to diffuclt integral deleted 2 characters in body