166

Answers

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9

objects which can’t be defined without making choices but which end up independent of the choice (2)

3

What’s the definition of continuous of set-valued functions?

1

When does “second annihilator” of a (principal) ideal equal the ideal itself , ie $Ann_R(Ann_R(r))=Rr$?

7

Category with a “metric” for arrow composition

5

Dense Affine Subvarieties of Algebraic Varieties

9

History of the high-dimensional volume paradox

7

What is the Q-construction, metaphysically?

3

ring with prescribed K group

4

K-theory of monoidal categories

1

Localization sequence for K^0(X)

-1

Correspondence between submodules and quotient modules

1

Tensoring with descending chain of modules

3

Self-containing structures

2

Six operations for (quasi)-coherent sheaves

11

Is the primitive element theorem a cohomological statement?

13

Group G hasn’t all conditions of Lie group

0

Let $M$ be a $R$-Bimodule that happens to be projective, is its associated left $R \otimes R^{op}$-module projective too?

4

Defining Transfers Algebraically

2

Putting objects into boxes so that each box gets <=2 objects

4

A question on generic point and a question on Hartshorne

3

Product and quotient of ideals (2)

21

Is every projective $\mathbf{Z}[x]$-module free?

-1

Formula for finite sum

1

Set theory question

3

many expected streaks imply high probability for a streak

1

Question on resolutions for arbitrary chain complexes.

4

Are all variables in a set of random variables independent if all pairs are independent?

1

How many flavors should a notational system offer for rank-1 tensors?

5

When is a sheaf of groups (algebras, rings, modules) a group (algebra, ring, module)?

0

What kinds of operations are well-defined when working with sets, classes, conglomerates, and yet higher order collections?