| Autor: |
Xiaolin Xie, Hui Kou |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 7, Iss 9, Pp 16315-16327 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2022891?viewType=HTML |
| Popis: |
Directed space was defined by Hui Kou in 2014 [21], which is equivalent to $ T_0 $ monotone determined space. Its main purpose is to build an extended framework for domain theory. In this paper, we study the category of c-spaces which is a subcategory of directed spaces. The main results are: (1) we will describe c-spaces using a new definition, which give us the convenience to construct new classes of spaces; (2) we give some conditions such that categorical products and topological products agree in $ {\bf Dtop} $; (3) the category of c-spaces is not Cartesian closed; (4) we define a new class of spaces, namely, FS-spaces, which forms a Cartesian closed category. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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