CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

author

Gunther Jager Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa

Abstract:

We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued pretopological spaces and that the category of approach spaces is a coreective subcategory of a category of lattice-valued topological convergence spaces

Download for Free

Already have an account?login

similar resources

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}

Journal title

Iranian Journal of Fuzzy Systems

volume 9 issue 4

pages 1- 16

publication date 2012-10-01

unfollow

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

L-fuzzy convergence L-topology L-filter L-limit space Approach space Convergence approach space Pre-approach space

Hosted on Doprax cloud platform doprax.com