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- W2624734803 abstract "Alas, Junqueira and Wilson asked whether there is a discretely generated locally compact space whose one point compactification is not discretely generated and gave a consistent example using CH. Their construction uses a remote filter in $omegatimes{}^{omega}2$ with a base of order type $omega_1$ when ordered modulo compact subsets. In this paper we study the existence and preservation (under forcing extension) of similar types of filters, mainly using small uncountable cardinals. With these results we show that the CH example can be constructed in more general situations." @default.
- W2624734803 created "2017-06-23" @default.
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- W2624734803 date "2013-12-05" @default.
- W2624734803 modified "2023-09-27" @default.
- W2624734803 title "Remote Filters and Discretely Generated Spaces" @default.
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