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β-R0 AND β-R1 TOPOLOGICAL SPACES


S. C. ARORA 1, SANJAY TAHILIANI
1. Department of Mathematics, University of Delhi, Delhi 110007, India, email: scarora@maths.du.ac.in
2. Department of Mathematics, University of Delhi, Delhi 110007, India, email: saniaytahiliani@yahoo.com

Issue:

SSRSMI, Number 1, Volume XX

Section:

Volume 20, Number 1

Abstract:

We discuss here some properties of β-R0 and β-R1 topological spaces. A new separation axiom β-RT is introduced. lt is proved that β-RT is strictly weaker then β-R0 . It is also seen that digital line and digital plane both are β-R0.

Keywords:

β-R0 spaces, &beta-R1 spaces, digital line and digital plane, Triebel-Lizorkin space, Herz-Hardy space, Herz space, Lipschitz space.

Code [ID]:

SSRSMI201001V20S01A0008 [0003173]

DOI:

Full paper:

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