On the Fuzzy Number Space with the Level Convergence Topology

Joint Authors

Sanchis, Manuel
Font, J. J.
Miralles, A.

Source

Journal of Function Spaces and Applications

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-06

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We characterize compact sets of ?1 endowed with the level convergence topology τℓ.

We also describe the completion (?1̂,?̂) of ?1 with respect to its natural uniformity, that is, the pointwise uniformity ?, and show other topological properties of ?1̂, as separability.

We apply these results to give an Arzela-Ascoli theorem for the space of (?1,τℓ)-valued continuous functions on a locally compact topological space equipped with the compact-open topology.

American Psychological Association (APA)

Font, J. J.& Miralles, A.& Sanchis, Manuel. 2012. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-463733

Modern Language Association (MLA)

Font, J. J.…[et al.]. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-463733

American Medical Association (AMA)

Font, J. J.& Miralles, A.& Sanchis, Manuel. On the Fuzzy Number Space with the Level Convergence Topology. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-463733

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463733