On Suprememum of a set in A Dedikind Complete Topological Space

Qingxia Li; Xinyao Yang

doi:10.24297/jam.v14i2.7807

On Suprememum of a set in A Dedikind Complete Topological Space

Authors

Qingxia Li Fisk University
Xinyao Yang Xi'an Jiaotong Liverpool University

DOI:

https://doi.org/10.24297/jam.v14i2.7807

Keywords:

Dedikind, Supremum

Abstract

The supremum for a set in a multi-dimensional, Dedikind complete topological space is defined. The example is given to illustrate that the condition of Dedilind complete is necessary for the existence of supremum.

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Author Biography

Xinyao Yang, Xi'an Jiaotong Liverpool University

Deapartment of Mathematical Sciences,

Xi'an Jiaotong Liverpool University,

Suzhou, Jiangsu, China

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Published

2018-11-01

How to Cite

Li, Q., & Yang, X. (2018). On Suprememum of a set in A Dedikind Complete Topological Space. JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 8025–8029. https://doi.org/10.24297/jam.v14i2.7807