On 2 generated c-spaces

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DOI:

https://doi.org/10.26637/MJM0803/0020

Abstract

2-generated c-spaces are closely related with finite connective spaces, closure operators and graphs $[5,6]$. In this article, we considered the question of whether arbitrary product, sum and quotient of 2-generated c-spaces are 2-generated or not. Further, a connected 2-generated c-space is characterized using $\mathscr{S}_Y$-connectedness.

Keywords:

c-space, 2-generated c-spaces, connective spaces

Mathematics Subject Classification:

Mathematics
  • Pages: 852-855
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

R. Börger, Connectivity Spaces and Component Categoreis, Categorical Topology, Proc. Conference Toledo, Ohio, (1983), 71-89.

A. Bretto, Comparability Graphs and Digital Topology, Computer Vision and Image Understanding, 82(2001), 33-41.

S. Dugowson, On Connectivity Spaces, arXiv:1001.2378v1[math.GN], (2010).

H. J. A. M. Heijmans, Connected Morphological Operators for Binary Images, Computer Vision and Image Understanding, 73(1999), 99-120.

J . Muscat and D. Buhagiar, Connective Spaces, Mem.Fac.Sci.ShimaneUniv.Series B: Mathematical Science, 39(2006), 1-13.

K. P. Ratheesh and N. M. M. Namboothiri, On C-spaces and Connective Spaces, South Asian Journal of Mathematics, 4(2013), 1-13.

C. Ronse, Set-Theoretical Algebraic Approaches to Connectivity in Continuous or Digital Spaces, Journal of Mathematical Imaging and Vision, 8(1998), 41-58.

P. K. Santhosh, On Products and Embedding of c-spaces, Journal of Advanced Studies in Topology, 4(2013), 18-24.

P. K. Santhosh, On the Quotients of c-spaces, Bol. Soc. Paran. Mat., 1(2017), 97-109.

P. K. Santhosh, On a Stronger Notion of Connectedness in c-spaces, Paper Communicated.

J. Serra, Connections for Sets and Functions, Fund. Inform., 41(2000), 47-186.

J. Serra, Connectivity on Complete Lattices, Mathematical Morphology and its Applications to Image and Signal Processing, (1998), 1-10.

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Published

01-07-2020

How to Cite

P. K. Santhosh, N. M. Madhavan Namboothiri, and P. N. Jayaprasad. “On 2 Generated C-Spaces”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 852-5, doi:10.26637/MJM0803/0020.