References
- P. Alexandorff, Diskrete Rume, Mat. Sb. 2 (1937) 501-518.
- G. Birkhoff, Lattice Theory, American Mathematical Society, 1961.
-
W. Dunham,
$T{\frac{1}{2}$ spaces, Kyungpook Math. J. 17 (1977) 161-169. - S.E. Han, Strong k-deformation retract and its applications, Journal of Korean Mathematical Society 44(6)(2007) 1479-1503. https://doi.org/10.4134/JKMS.2007.44.6.1479
- S.E. Han, Continuities and homeomorphisms in computer topology, Journal of Korean Mathematical Society 45(4)(2008) 923-952. https://doi.org/10.4134/JKMS.2008.45.4.923
-
S.E. Han, Equivalent (
$k_0;\;k_1$ )-covering and generalized digital lifting, Information Sciences 178(2)(2008) 550-561. https://doi.org/10.1016/j.ins.2007.02.004 -
S.E. Han, The k-homotopic thinning and a torus-like digital image in
$\mathbf{Z}^n$ , Journal of Mathematical Imaging and Vision 31 (1)(2008) 1-16. https://doi.org/10.1007/s10851-007-0061-2 - S.E. Han, Extension problem of several continuities in computer topology, Bul- letin of Korean Mathematical Society, 47(5)(2010) 915-932. https://doi.org/10.4134/BKMS.2010.47.5.915
- S.E. Han, Continuity of maps between axiomatic locally finite spaces and its ap- plications, International Journal of Computer Mathematics 88(14) (2011) 2889- 2900. https://doi.org/10.1080/00207160.2011.577892
- E. Khalimsky, R. Kopperman, P.R. Meyer, Computer graphics and connected topologies on finite ordered sets, Topology and its Applications 36(1)(1991) 1-17.
- V. Kovalevsky, Axiomatic Digital Topology, Journal of Mathematical Imaging and Vision 26 (2006) 41-58. https://doi.org/10.1007/s10851-006-7453-6
- V. Kovalevsky, Geometry of Locally Finite Spaces, Monograph, Berlin (2008).
- V. Kovalevsky, Sang-Eon Han, Product and hereditary property of space set topological structure, Transactions of AMS, submitted.
- A. Rosenfeld, Connectivity in digital pictures, Journal of the ACM 17 (1970) 146-160. https://doi.org/10.1145/321556.321570
- H. Seifert and W. Threlfall, A Textbook of Topology, Academic Press, 1980.
- J. Stillwell, Classical Topology and Combinatorial Group Theory, Springer (1995).
- R.E.Stong, Finite topological spaces, Transactions of AMS 123 (1966) 325-340. https://doi.org/10.1090/S0002-9947-1966-0195042-2