10-327/Separation Axioms

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T0:

250px

T1:

250px

T2:

250px

T3:

250px

T3.5:

250px

T4:

250px

T4.5:

250px


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.