Timeline for Comparing two metrics on the space of infinite sequences and relating open and closed sets
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2013 at 11:16 | comment | added | StefanH | Yes I already asked a similar question, but this time I am more interesed in the specific question which $d'$-closed sets are also $d$-open. In general this is false, I conjectured that all non-counting languages fullfill this property, but this was false, and so hoped maybe here someone has a suggestion for this... | |
| Nov 26, 2013 at 16:33 | comment | added | Joseph Van Name | mathoverflow.net/questions/141421/… | |
| Nov 26, 2013 at 15:00 | comment | added | Eric Wofsey | An observation that may be useful: the $d'$-isolated points are exactly the eventually periodic sequences, and these are dense in the whole space. | |
| Nov 26, 2013 at 14:42 | comment | added | Benjamin Steinberg | Normally infixes are used when considering bi-infinite sequences. | |
| Nov 26, 2013 at 13:47 | comment | added | StefanH | The first metric induces the usual product topology, but the second induces a refinement thereof which properties I am interested in. | |
| Nov 26, 2013 at 13:45 | comment | added | Martin Sleziak | Isn't this the usual product topology? The $1/2^r$-ball around a sequence $a$ consists of sequences that have the same first $r$ coordinates as the sequence $a$. | |
| Nov 26, 2013 at 13:07 | history | edited | StefanH | CC BY-SA 3.0 |
added 11 characters in body
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| Nov 26, 2013 at 12:59 | history | edited | StefanH | CC BY-SA 3.0 |
added 324 characters in body
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| Nov 26, 2013 at 12:08 | history | asked | StefanH | CC BY-SA 3.0 |