Skip to main content
MathOverflow

Return to Question

Added tags
Link
edit approved Feb 20, 2023 at 20:51
Community Bot
edit approved Feb 20, 2023 at 20:51
Community Bot
  • 1
  • 2
  • 3
Give Lindelöf his dots.
Source Link
Jukka Kohonen
Jukka Kohonen
  • 4.2k
  • 2
  • 21
  • 49

Hereditarily LindelofLindelöf spaces with density continuum

Since there are L-spaces (provably in ZFC), under CH we have regular, hereditarily LindelofLindelöf spaces with density continuum. However, I cannot find an example of such a space under not CH, nor a proof that no such space exists under axioms like MA or PFA. Shelah has a paper on the density of HL spaces, but it is somewhat opaque (I believe it is number 918 in his archive).

Hereditarily Lindelof spaces with density continuum

Since there are L-spaces (provably in ZFC), under CH we have regular, hereditarily Lindelof spaces with density continuum. However, I cannot find an example of such a space under not CH, nor a proof that no such space exists under axioms like MA or PFA. Shelah has a paper on the density of HL spaces, but it is somewhat opaque (I believe it is number 918 in his archive).

Hereditarily Lindelöf spaces with density continuum

Since there are L-spaces (provably in ZFC), under CH we have regular, hereditarily Lindelöf spaces with density continuum. However, I cannot find an example of such a space under not CH, nor a proof that no such space exists under axioms like MA or PFA. Shelah has a paper on the density of HL spaces, but it is somewhat opaque (I believe it is number 918 in his archive).

Source Link
GAW
GAW
  • 31
  • 2

Hereditarily Lindelof spaces with density continuum

Since there are L-spaces (provably in ZFC), under CH we have regular, hereditarily Lindelof spaces with density continuum. However, I cannot find an example of such a space under not CH, nor a proof that no such space exists under axioms like MA or PFA. Shelah has a paper on the density of HL spaces, but it is somewhat opaque (I believe it is number 918 in his archive).