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The degree of subsequentiality of a subsequential filter |
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| Authors: | S García-Ferreira C Uzcátegui |
| Institution: | a Instituto de Matemáticas, Universidad Nacional Autónoma de México, Apartado Postal 61-3, Santa María, 58089, Morelia, Michoacán, Mexico b Departamento de Matemáticas, Facultad de Ciencias, Universidad de los Andes, Mérida 5101, Venezuela |
| Abstract: | A space is called subsequential if it is a subspace of a sequential space. A free filter F on ω is called subsequential if the space ω∪{F} is subsequential. The purpose of this paper is to introduce the degree of subsequentiality of a subsequential filter in a similar way as it is done in the realm of sequential spaces. A method to produce subsequential filters with arbitrary subsequential degree is given. |
| Keywords: | Subsequential space Subsequential filter Degree of subsequentiality |
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