# Intuitive meaning of topology axioms

by user2465039   Last Updated January 12, 2018 22:20 PM

Can someone explain, why ,intuitively, the axioms of topology regarding open sets are the way they are? (i.e. that the infinite union of open sets must be open, and that the finite intersection of open sets is again open)?

How do these axioms "respect" out notion of "nearness"?

Thanks

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