Open Access Library Journal

Volume 5, Issue 11 (November 2018)

ISSN Print: 2333-9705   ISSN Online: 2333-9721

Google-based Impact Factor: 0.73  Citations  

On Almost Pretopological Vector Spaces

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DOI: 10.4236/oalib.1104937    621 Downloads   1,331 Views  Citations

ABSTRACT

In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using regular open sets and pre-open sets. The relationships of almost pretopological vector spaces with certain other types of spaces are provided. Along with some useful results, it is proved that in almost pretopological vector spaces, translation and scalar multiple of a regular open (resp. regular closed) set are pre-open (resp. pre-closed).

Share and Cite:

Sharma, S. and Ram, M. (2018) On Almost Pretopological Vector Spaces. Open Access Library Journal, 5, 1-10. doi: 10.4236/oalib.1104937.

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