Categorical neighborhood operators |
| |
Authors: | David Holgate |
| |
Institution: | a Department of Mathematical Sciences, University of Stellenbosch, Stellenbosch 7600, South Africa b Department of Mathematics, Brno University of Technology, 616 69 Brno, Czech Republic |
| |
Abstract: | We introduce and study a concept of neighborhood operator on a category. Such an operator is obtained by assigning a suitably axiomatized stack of subobjects - the neighborhoods - to every subobject of each object in the category. We discuss closure and interior operators, convergence, separation and compactness with respect to a neighborhood operator, defined in a natural way. |
| |
Keywords: | primary 18D35 54B30 secondary 54A05 54A20 54D30 |
本文献已被 ScienceDirect 等数据库收录! |
|