Abstract
This chapter takes another look at connectedness. The traditional view of connected spaces is augmented with the introduction of strongly near proximity, which ushers in new forms of connectedness, namely.
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Notes
- 1.
Many thanks to Maciej Borkowski for contributing this amazing portrait as an illustration of strong connectedness.
References
Peters, J., Guadagni, C.: Strongly hit and far miss hypertopology & hit and strongly far miss hypertopology. arXiv[Math.GN] 1503(02587), 1–8 (2015)
Peters, J., Guadagni, C.: Strongly proximal continuity & strong connectedness. arXiv 1504(02740), 1–11 (2015)
Naimpally, S., Peters, J.: Topology with Applications. Topological Spaces via Near and Far. World Scientific, Singapore (2013). Xv + 277 pp., Am. Math. Soc. MR3075111
Willard, S.: General Topology. Dover Pub. Inc, Mineola (1970). Xii + 369pp, ISBN: 0-486-43479-6 54-02, MR0264581
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Peters, J.F. (2016). Strong Connectedness Revisited. In: Computational Proximity. Intelligent Systems Reference Library, vol 102. Springer, Cham. https://doi.org/10.1007/978-3-319-30262-1_10
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DOI: https://doi.org/10.1007/978-3-319-30262-1_10
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