Partial Orders on the 2-Cell
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 411-416

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A partially ordered space is an ordered pair (X, ≤) where X is a compact metric space and ≤ is a partial ordering on X such that ≤ is a closed subset of the Cartesian product X×X. ≤ is said to be a closed partial order on X.
DOI : 10.4153/CMB-1975-075-x
Mots-clés : 54F05, 06A45
Tymchatyn, E. D. Partial Orders on the 2-Cell. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 411-416. doi: 10.4153/CMB-1975-075-x
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[1] 1. Tymchatyn, E. D., Antichains and products in partially ordered spaces, Trans. Amer. Math. Soc. 146 (1969) pp. 511-520. Google Scholar

[2] 2. Tymchatyn, E. D. The 2-cell as a partially ordered space, Pac. J. Math. 30 (1969) pp. 825-836. Google Scholar

[3] 3. Tymchatyn, E. D., Some order theoretic characterizations of the 3∼cell, Colloq. Math. 10 (1972) pp. 195-203. Google Scholar

4 Tymchatyn, E. D. and Ward, L.E. Jr., On three problems of Franklin and Wallace concerning partially ordered spaces, Coll. Math. 20 (1969) pp. 229-236. Google Scholar

[5] 5. Ward, L. E. Jr., Concerning Koch's Theorem on the existence of arcs, Pac. J. Math. 15 (1965) pp. 347-355. Google Scholar

[6] 6. Ward, L. E. Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954) pp. 144-161. Google Scholar

[7] 7. Ward, L. E. Jr., A note on dendrites and trees, Proc. Amer. Math. Soc. 5 (1954) pp. 992-994. Google Scholar

[8] 8. Wilder, R. L., Topology of Manifolds, Amer. Math. Soc., Providence, 1949. Google Scholar

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