Topology equals the the collection of all unions of elements in a basis

Is there a difference between "collection of all unions of elements" and "all unions of elements"

I am kind of confused by term "collection"

  • $\begingroup$ Is exactly the same. The point is that a topology generated by one basis is defined as the set formed taking unions of basis elements. It means, take all possible unions, then each of that possible union form what we will call as open set... $\endgroup$ – L.F. Cavenaghi Mar 17 '16 at 20:08
  • $\begingroup$ Does that mean that single element also belongs to the topology $\endgroup$ – jessie Mar 17 '16 at 20:59
  • $\begingroup$ Absolutely! Stay calm, its questions are natural $\endgroup$ – L.F. Cavenaghi Mar 17 '16 at 21:42

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