Cohomoillogical

*looks at my bookshelf*

*looks at my bookshelf*

my daughter cannot, through action or inaction, harm a human or allow a human to come to harm

a daughter at rest or in constant motion remains at rest or in constant motion unless acted upon by another force

daughters are never created or destroyed, only transformed

always treat every daughter as loaded, even if you know she isn't

7. You can fold my daughter through any two points.

More precisely, given the topology on C and a point p in C, is there some natural algebraic process through which one could turn the ring C[x] into the ring of power series f in (x-p) such that there exists some disk D around p where f converges (D can depend on f)? This would look like a “completion” of C[x] at the point p, but obviously not in the valuation theoretic sense.

In the other direction, given the (topological) ring of holomorphic functions on an open subset U of C can one recover the open subset U as a topological space?

More generally, look into GAGA, complex analysis is indeed closely related to algebraic geometry.

lemma 1: when two rats play monopoly (and rats do that by the way) the little rat will always lose, and that just tells you who’s side god is really on

Proof: follows from the Jordan curve theorem

Remark: if we have a rat g, then we can define another rat g* by interlacing the component parts of the first rat *seqeuence of diagrams* from these diagrams it should be intuitive that if g is an awesome rat then g* is an omega rat [note, the paper has not and will never define what an omega rat is]. It turns out that this is indeed the case

lemma 2 if g is a planar rat then g* is an omega rat

proof: this lemma is easy, so we omit its proof see [3] Theorem: g is a planar rat if g* is an omega rat and g is nicely woven

proof: this diagram shows how to embed such a rat in the plane: *incomprehensible diagram showing off a special case*

This is about this paper