10-327/Separation Axioms

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T0:

File:T0SA.png

T1:

File:T1SA.png

T2:

File:T2SA.png

T3:

File:T3SA.png

T3.5:

File:T35SA.png

T4:

File:T4SA.png

T4.5:

File:T45SA.png


Since I made a mistake with the pathes and these files will likely be deleted or moved, I'm including a link to the original source on my blog.

The separation axioms along with other properties form a network of implications:

10-327-separation-axioms-graph.png

It's interesting to note that paracompactness (every open cover has a subcover such that every point has a neighbourhood that intersects finitely many elements) will suffice in place of compactness.

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