Mods Do A Sudo Rm -rf /home/her

mods do a sudo rm -rf /home/her

mods compress her into a .tar.gz

I think there are uncountably many homeomorphism types of countable punctured planes.

Curves in the plane with dense punctures (for example, what’s left of the unit circle after you puncture the rational points on the unit circle out of existence) are nowhere path connected in a way that non-convergent Cauchy sequences can pick up, so homeomorphisms ought to send densely punctured curves to other densely punctured curves. Then number and nesting patterns of densely punctured curves would give a nice invariant.

But in particular, after cutting out rational points from circles of integer radius about the origin, we create a bunch of un-punctured rings, only one of which has as its interior an open disk (that’s the middle one).

then simply by puncturing the rational points from a_1 disjoint loops in the first circle, a_2 from the second, a_3 from the third and so on, we can inject the integer sequence (a_n) into the set of homeomorphism classes of punctured planes. (Since countable unions of countable sets of punctures are countable, the resulting construction actually lives in the set of countably punctured planes).

That jeans post has got me thinking, is there a nice way of distinguishing between planes with infinite numbers of holes in them. More formally, can we classify up to homeomorphism infinitely punctured planes easily?

I have a feeling cardinality matters. I'd conjecture that ℝ²\(ℚ×{0}) is not homeomorphic to ℝ²\(C×{0}), where C is the middle third Cantor set. But how could we prove that?

Also I have a feel cardinality isn't the only thing that matters. I reckon density might matter too. For example, is ℝ²\(ℚ×{0}) homeomorphic to ℝ²\(ℕ×{0}). I guess the difference there is that each hole in the second space is isolated whereas those in the first aren't.

It'd be interesting to hear what other people think :))

So I played the lifegain banding defenders deck I asked about at pauper night yesterday. I went 0-3, but I was up at 40 life at one point so that was fun.

Magic The Gathering tip: don't forget to include a wincon.

Second tip: lots of life gain is not a wincon

Magic the Gathering tip: real bandingchads know that playing banding is a wincon on its own

sorry for not knowing how to act around you . in my defense if you haven’t articulated your feelings about me clearly and in excruciating detail i will just assume i am simply an acquaintance in your mind out of fear of making things weird

...In fair verona where we lay our scene...