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Wilder, R. L.

A certain class of topological properties. (English) Zbl 0097.15902

Bull. Am. Math. Soc. 66, 205-239 (1960).
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Keywords:

topology
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\textit{R. L. Wilder}, Bull. Am. Math. Soc. 66, 205--239 (1960; Zbl 0097.15902)
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References:

[1] E. G. Begle, The Vietoris mapping theorem for bicompact spaces. II, Michigan Math. J. 3 (1955 – 1956), 179 – 180. · Zbl 0075.32001
[2] Armand Borel, The Poincaré duality in generalized manifolds, Michigan Math. J. 4 (1957), 227 – 239. · Zbl 0142.40402
[3] Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. · Zbl 0047.41402
[4] S. Lefschetz, Chain-deformations in topology, Duke Math. J. 1 (1935), no. 1, 1 – 18. · Zbl 0011.18002
[5] R. L. Moore, Concerning connectedness im kleinen and a related property, Fund. Math. vol. 3 (1922) pp. 232-237. · JFM 48.0659.03
[6] W. Sierpiński, Sur l’équation \?²=\?³+1 pour les nombres ordinaux transfinis, Fund. Math. 43 (1956), 1 – 2 (French). · Zbl 0071.05104
[7] Marie Torhorst, Über den Rand der einfach zusammenhängenden ebenen Gebiete, Math. Z. 9 (1921), no. 1-2, 44 – 65 (German). · JFM 48.0653.01
[8] L. Vietoris, Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen, Math. Ann. 97 (1927), no. 1, 454 – 472 (German). · JFM 53.0552.01
[9] R. L. Wilder, Point sets in three and higher dimensions and their investigation by means of a unified analysis situs, Bull. Amer. Math. Soc. vol. 38 (1932) pp. 649-692. · Zbl 0005.41601
[10] R. L. Wilder, On locally connected spaces, Duke Math. J. 1 (1935), no. 4, 543 – 555. · Zbl 0013.13201
[11] R. L. Wilder, Property \?_{\?}, Amer. J. Math. 61 (1939), 823 – 832. · Zbl 0022.41301
[12] R. L. Wilder, Decompositions of compact metric spaces, Amer. J. Math. 63 (1941), 691 – 697. · Zbl 0026.09505
[13] Raymond Louis Wilder, Topology of manifolds, American Mathematical Society Colloquium Publications, vol. 32, American Mathematical Society, Providence, R.I., 1979. Reprint of 1963 edition. · Zbl 0039.39602
[14] R. L. Wilder, Concerning a problem of Alexandroff, Michigan Math. J. 3 (1955 – 1956), 181 – 185. · Zbl 0073.18002
[15] R. L. Wilder, Monotone mappings of manifolds, Pacific J. Math. 7 (1957), 1519 – 1528. · Zbl 0086.37302
[16] R. L. Wilder, Local orientability, Colloq. Math. 6 (1958), 79 – 93. · Zbl 0101.15703
[17] R. L. Wilder and J. P. Roth, On certain inequalities relating the Betti numbers of a manifold and its subsets, Proc. Nat. Acad. Sci. U. S. A. 40 (1954), 207 – 209. · Zbl 0055.16402
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