examples of torpos-glueing to play around with ... ??? ....

projective line ...

"affine line with doubled origin" ...

???various ways of trying to understand contrast (??...) between above two examples ??? ...

"-:-" vs "-.-." ... ????...

??? ???"-." ????? .... broken symmetry here ... ???unclear whether much of good idea at all ??? ... ??? .....

projective plane...

punctured affine plane ...

??maybe more sorts of puncturing???....

???stern-brocot ... ????.... maximal ... ideal limit .... ??? ...

[projective line]^2 ...

???pushout X pushout ...

.<-.->.
^##^##^
|##|##|
.<-.->.
|##|##|
v##v##v
.<-.->.

... ??? ...


???aut gp of N + Z ....

1 0
x +-1

... ??....

localization ... ?? at (??prime ???) ideal ??? ... "fringe" ... ???artin-wraith ??? .... ???? ....

??also examples _not_ giving torpos (in particular not topos ...???....) .... coming from "non-flat" case ... ??? .... ???? ....

...... ??? ...............