Matrix Characterizations of Topological Properties
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 95-105

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In [S], H. Sharp characterizes each topology on a finite set S = {s1, s2,...sn} with a n×n zero-one matrix T = (tij) where tij=1 if and only if . In this paper we seek matrix characterizations of certain topological properties of finite spaces. Such characterizations will provide purely mechanical ways of determining if a space has a certain topological property.
Bonnett, D.A.; Porter, J.R. Matrix Characterizations of Topological Properties. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 95-105. doi: 10.4153/CMB-1968-013-9
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