Abstract
Let X be a set. A collection U of subsets of Xdefines a topologyon X if
-
(i)
the empty set Ø and X belong to U;
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(ii)
the union of any collection of sets in U is in U;
-
(iii)
the intersection of finitely many elements of U is in U.
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© 2002 Springer Science+Business Media New York
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DiBenedetto, E. (2002). Topologies and Metric Spaces. In: Real Analysis. Birkhäuser Advanced Texts. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0117-5_2
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DOI: https://doi.org/10.1007/978-1-4612-0117-5_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6620-4
Online ISBN: 978-1-4612-0117-5
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