Timeline for (Weakly) minimal subcovers of linear covers
Current License: CC BY-SA 4.0
9 events
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Apr 28 at 1:48 | comment | added | bof | @DominicvanderZypen It is not exactly the existence of a "weakly minimal cover" but a slightly stronger proposition, namely the Lemma in my partial answer to your follow-up question, which can be used to show that every linear cover of a countable set has a minimal subcover. | |
Apr 28 at 1:34 | history | edited | bof | CC BY-SA 4.0 |
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Apr 26 at 13:55 | history | edited | bof | CC BY-SA 4.0 |
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Apr 26 at 13:34 | comment | added | Iosif Pinelis | @bof : In the OP, $\operatorname{cov}_{\mathcal C}(x)$ was defined as a number. In your answer, $\operatorname{cov}(x)$ seems to act a set. | |
Apr 26 at 13:20 | history | edited | bof | CC BY-SA 4.0 |
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Apr 26 at 12:46 | comment | added | Iosif Pinelis | What is $\operatorname{cov}(x)$? | |
Apr 26 at 8:54 | comment | added | Dominic van der Zypen | Brilliant, thanks @bof. I suppose this can also be used to show that every linear cover contains a minimal cover | |
Apr 26 at 8:54 | vote | accept | Dominic van der Zypen | ||
Apr 26 at 8:47 | history | answered | bof | CC BY-SA 4.0 |