Abstract
Let X be a set. Let O be a set of subsets of X having the following properties: (i) Ø and X are in O, (ii) the intersection of any two elements of O is in O and (iii) the union of any family of elements of O is in O. We say that O defines a topology on X and we call the pair (vX, O) a topological space and the sets of O open sets. For brevity we often denote the topological space by X and the topology by τ. The reader is expected to be familiar with the elements of the theory of topological spaces.
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© 1995 Springer-Verlag Berlin Heidelberg
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Sari, T. (1995). General topology. In: Diener, F., Diener, M. (eds) Nonstandard Analysis in Practice. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57758-1_6
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DOI: https://doi.org/10.1007/978-3-642-57758-1_6
Publisher Name: Springer, Berlin, Heidelberg
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