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N. N. Luzin's problems on the existence of CA-sets without perfect subsets
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kanovei, Vladimir G. |
| Copyright Year | 1987 |
| Abstract | After P. S. Aleksandrov, Hausdorff, and M. Ya. Suslin proved in 1916-1917 that any uncountable Borel set, and even any uncountable A-set on the real line, contains a perfect subset, and thus has the cardinality of the continuum c = 2~o, one of the main problems in the descriptive set theory at that time was that of investigating the cardinality of CAsets (i.e., sets complementary to A-sets). The essence of this problem is the following: |
| Starting Page | 422 |
| Ending Page | 426 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF01159870 |
| Alternate Webpage(s) | http://lab6.iitp.ru/ru/pub/en_mn_1987_k.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/BF01159870 |
| Volume Number | 41 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
