Connected (topology)/Equivalent conditions

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This page is supposed to be transcluded, if you are arriving here from a search page see connected or disconnected

Equivalent conditions to being connected/disconnected

To a topological space [ilmath](X,\mathcal{ J })[/ilmath] being connected:

To an arbitrary subset, [ilmath]A\in\mathcal{P}(X)[/ilmath], being connected:


TODO: Bottom of page 114 in Mendelson, something about closed sets and connectedness


Notes

References

  1. Introduction to Topology - Bert Mendelson