On Fatou Topologies of Inextensible Riesz Spaces

Authors

  • Nabonarayan Jha Department of Mathematics, Patan Multiple Campus, Lalitpur, TU
  • Jaynarayan Jha Department of Mathematics, Padma Kanya Multiple Campus, Kathmandu, TU

DOI:

https://doi.org/10.3126/tuj.v35i2.36184

Keywords:

Fatou, inextensible, riesz spaces, pseudo-norm, maharam measure space, archimedean spaces

Abstract

In this paper we shall discuss the general properties of Fatou topologies on Inextensible Riesz Spaces. We find that on a given inextensible Riesz Spaces, there may be no non-trival Fatou topologies but if it has any Hausdorff Fatou topology, it has only one and this has several special properties.

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Published

2020-12-31

How to Cite

Jha, N., & Jha, J. (2020). On Fatou Topologies of Inextensible Riesz Spaces. Tribhuvan University Journal, 35(2), 12–21. https://doi.org/10.3126/tuj.v35i2.36184

Issue

Vol. 35 No. 2 (2020)

Section

Articles

License

© Center for Research, Tribhuvan University