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References
J. H. Carruth, A note on partially ordered compacta, Pacific J. Math. 24 (1968) pp. 229–231.
G. Choquet, Convergences, Annales Grenoble, Sec. des Sci, Math. et Phys. 23 (1947) pp. 58–112.
S. P. Franklin and A. D. Wallace, The least element map, Colloq. Math. 15 (1966) pp. 217–221.
S. T. Hu, Cohomology Theory, Chicago, 1968.
Virginia Walsh Knight, A continuous partial order for Peano continua, Pacific J. Math., 30 (1969) pp. 141–153.
R. J. Koch, Arcs in partially ordered spaces, Pacific J. Math. 9 (1959), pp. 723–728.
I. S. Krule, Structs on the 1-sphere, Duke Math. J. 24 (1957), pp. 405–414.
S.-Y. T. Lin, A characterization of the cutpoint order on a tree, Trans. Amer. Math. Soc. 124 (1966), pp. 552–557.
L. Nachbin, Sur les espaces topologique ordonnés, C.R. Acad. Sci. Paris 226 (1948), pp. 381–382.
_____, Sur les espaces uniformisables ordonnés, Ibidem 226 (1948), p. 547.
_____, Sur les espaces uniformes ordonnés, ibidem 226 (1948), pp. 774–775.
_____, Topology and Order, Princeton, 1964.
R. L. Plunkett, A fixed point theorem for continuous multi-valued transformations, Proc. Amer. Math. Soc. 7 (1956), pp. 160–163.
W. Scherrer, Uber ungeschlossene stetige kurven, Math. Zeit. 24 (1926), pp. 125–130.
R. E. Smithson, A note on acyclic continua, Colloq. Math. 19 (1968), pp. 67–71.
E. D. Tymchatyn, The 2-cell as a partially ordered space, Pacific J. Math., 30 (1969), pp. 825–836.
_____, and L. E. Ward, Jr., On three problems of Franklin and Wallace concerning partially ordered spaces, Coll. Math., 20 (1969) pp. 229–236.
T. Van der Walt, Fixed and Almost Fixed Points, Amsterdam, 1963.
A. D. Wallace, A fixed point theorem for trees, Bull. Amer. Math. Soc. 47 (1941), pp. 757–760.
_____, A fixed point theorem, ibidem 51 (1945), pp. 413–416.
_____, A theorem on acyclicity, ibidem 67 (1961), pp. 123–124.
_____, Relations on topological spaces, Proc. Symp. on Gen. Topology and its Relations to Modern Analysis and Algebra, Prague, 1961, pp. 356–360.
A. J. Ward, A theorem of fixed point type for non-compact locally connected spaces, Colloq. Math. 17 (1967), pp. 289–296.
L. E. Ward, Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc. 5 (1954), pp. 144–161.
_____, A note on dendrites and trees, ibidem 5 (1954), pp. 992–994.
_____, Characterization of the fixed point property for a class of set-valued mappings, Fund. Math. 50 (1961), pp. 159–164.
_____, Concerning Koch's theorem on the existence of arcs, Pacific J. Math. 15 (1965), pp. 347–355.
_____, On the non-cutpoint existence theorem, Can. Math. Bull. 11 (1968), pp. 213–216.
_____, Compact directed spaces, Trans. Amer. Math. Soc., to appear.
_____ A general fixed point theorem, Colloq. Math. 15 (1966), pp. 243–251.
G. T. Whyburn, Analytic Topology, New York, 1942.
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Ward, L.E. (1970). Set-valued mappings on partially ordered spaces. In: Fleischman, W.M. (eds) Set-Valued Mappings, Selections and Topological Properties of 2x . Lecture Notes in Mathematics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069727
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DOI: https://doi.org/10.1007/BFb0069727
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