Favourite topological spaces

A dog

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>>8936355
accept no substitutes

>>8936341
Sierpinski because why not

The walking quiver, aka the von Neumann ordinal 3.

The door space

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these have very interesting properties

Lp

Trivial one, followed by discrete, followed by Euclidean in 2D

R^n
PR^n
the Cantor set
the circle
the interval

>>8936341
As long as it's locally compact and abelian then it doesn't matter to me, serves my purposes just fine.

>>8936341
Ur moms pussy

zariski cos i proved its compact in an exam on general topology

Do you know of any topological space whose existence is equivalent to some large cardinal?

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[math]\mathbb R[/math]

>>8936341
Technically not a "topological space", but Schemes over F_q w/ etale topology.

>>8936341

For me it's the McChicken, the best topological space

coffee donut

>>8937796
Noice

>>8937197
If k is any ordinal, then k is a topological space under the order topology. So just let k be whatever large cardinal you want.

>>8937798
Lmao, has this meme started to spread outside of /ck/?

>>8936341
The only topology on the empty set, because it's just so concise.

>>8937796
>help2.png

is there a help1.png?

>>8937197
any set whose cardinality is equal to the large cardinal in question, with the indiscrete topology

>>8938664
looks like a classification of 2-surfaces, hence the 2

>>8938459
>>8938678
K but I meant not so obvious spaces. More like some weird thing on the reals or whatever. One that the existence of the topology would depend on a large cardinal, not the universe of the space.

>>8936341
>Favourite topological spaces
metric spaces...