تقرير
$C$-embedding, Lindel\'ofness, and \v{C}ech-completeness
| العنوان: | $C$-embedding, Lindel\'ofness, and \v{C}ech-completeness |
|---|---|
| المؤلفون: | Dow, Alan, Hart, Klaas Pieter, van Mill, Jan, Vermeer, Hans |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Topology, 54C45, 54D20, 54D35, 54D40, 54D60, 54G20 |
| الوصف: | We show that in the class of Lindel\"of \v{C}ech-complete spaces the property of being $C$-embedded is quite well-behaved. It admits a useful characterization that can be used to show that products and perfect preimages of $C$-embedded spaces are again $C$-embedded. We also show that both properties, Lindel\"of and \v{C}ech-complete, are needed in the product result. Comment: Version 2: some corrections after referee report Version 3: added `and' to the title; definitive version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.19703 |
| رقم الأكسشن: | edsarx.2404.19703 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |