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8 Topology[0G5]

Let \(X\) be a fixed and non-empty set. We will use this notation. For each set \(A⊆ X\) we define that \(A^ c=X⧵ A\) is the complement to A.

Definition 72

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Definition 73

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Definition 74

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Definition 75

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Definition 76

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Further informations on these subjects may be found in Chap. 2 of [ 20 ] or in [ 15 ] .

Remark 77

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8.1 Neighbourhood, adherent point, isolated point, accumulation point

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8.2 Examples

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8.3 Generated topologies

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8.4 Compactness

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8.5 Connection

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8.6 Nets

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8.7 Continuity and limits

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8.8 Bases

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8.9 First- and second-countable spaces

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8.10 Non-first-countable spaces

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Bibliography
  • [26] Walter Rudin. Principles of Mathematical Analysis. McGraw–Hill, New York, 3rd edition, 1964.
  • [17] J.L. Kelley. General Topology. Graduate Texts in Mathematics. Springer New York, 1975. ISBN 9780387901251. URL https://books.google.it/books?id=-goleb9Ov3oC.

Book index
  • topological space
  • space, topological
  • set, complement of a ---
  • complement, set , see set,complement
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