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A compact HL-space need not have a monolithic hyperspace |
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| Authors: | Henno Brandsma Jan van Mill |
| Affiliation: | Vrije Universiteit, Faculty of Mathematics and Computer Science, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands ; Vrije Universiteit, Faculty of Mathematics and Computer Science, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
| Abstract: | We show that Kunen's example of a compact L-space, constructed under CH, can be modified so that it has a non-monolithic hyperspace. This answers a question of Bell's. This example is also relevant to a question of Arhangel'skii's. |
| Keywords: | Hyperspaces monolithic compact spaces counterexamples |
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