Volume no :50, Issue no: 1, March (2018)

Journal of Mathematical Sciences: Advances and Applications

NECESSARY AND SUFFICIENT CONDITIONS FOR A SPACE TO HAVE A MAXIMAL, PROPER, DENSE, SUBSPACE

Author's: Charles Dorsett
Pages: [1] - [12]
Received Date: February 28, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121935

Abstract

Within this paper necessary and sufficient conditions for a space to have a maximal, proper, dense, subspace are given and subspaces properties of such spaces are further investigated.

Keywords

proper subspaces, dense subspaces, maximal subspaces.