Abstract
In Chapter 11, we have completed the transition from metric spaces to topological spaces. Starting from a set X and a collection ω of lumps in X, we have introduced notions such as “ω-convergent” and “ω-open.” The collection of all ω-open sets is a topology (Theorem 11.13). Then, in Corollary 11.23 we saw that a topology is a very natural collection of lumps to take for ω.
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© 1997 Springer Science+Business Media New York
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Buskes, G., van Rooij, A. (1997). Topological Spaces. In: Topological Spaces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0665-1_12
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DOI: https://doi.org/10.1007/978-1-4612-0665-1_12
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