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Keywords:
approximate inverse system; approximate inverse limit; approximate resolution $\operatorname{mod}\, \Cal P$; realcompact space; Lindelöf space; Polish space; non-measurable cardinal
approximate inverse system; approximate inverse limit; approximate resolution $\operatorname{mod}\, \Cal P$; realcompact space; Lindelöf space; Polish space; non-measurable cardinal
Summary:
Realcompact spaces can be characterized as limits of approximate inverse systems of Polish polyhedra.
References:
[1] Čerin Z.: Recognizing approximate $(\Cal A,\Cal B,\Cal C)$-tameness. Acta Math. Univ. Comenianae 62:2 (1993), 207-219. MR 1270508 | Zbl 0846.54010
[2] Engelking R.: General Topology. Monografie Matematyczne 60, Polish Scientific Publishers, Warszawa, 1977. MR 0500780 | Zbl 0684.54001
[3] Fedorchuk V.V., Chigogidze A.Ch.: Absolute Retracts and Infinite Dimensional Manifolds (Russian). Nauka, Moscow, 1992. MR 1202238
[4] Gillman L., Jerison M.: Rings of Continuous Functions. D. van Nostrand Co., Princeton, 1960. MR 0116199 | Zbl 0327.46040
[5] Sze-Tsen Hu: Theory of Retracts. Wayne State University Press, Detroit, 1965. MR 0181977 | Zbl 0029.32203
[6] Mardešić S.: Strong shape of the Stone-Čech compactification. Comment. Math. Univ. Carolinae 33:3 (1992), 533-539. MR 1209294
[7] Mardešić S., Matijević V.: $\Cal P$-like spaces are limits of approximate $\Cal P$-resolution. Topology Appl. 45 (1992), 189-202. MR 1180809
[8] Mardešić S., Rubin L.R.: Approximate inverse systems of compacta and covering dimension. Pacific J. Math. 138 (1989), 129-144. MR 0992178
[9] Mardešić S., Segal J.: Shape Theory. North-Holland Publ. Co., Amsterdam, 1982. MR 0676973
[10] Mardešić S., Uglešić N.: On irreducible mappings into polyhedra. Topology Appl. 61 (1995), 187-203. MR 1314618
[11] Mardešić S., Watanabe T.: Approximate resolutions of spaces and mappings. Glasnik Mat. 24 (1989), 587-637. MR 1080085
[12] Matijević V.: Spaces having approximate resolutions consisting of finite-dimensional polyhedra. Publ. Math. Debrecen, to appear. MR 1336370
[13] Mrowka S.: An elementary proof of Katětov's theorem concerning $Q$-spaces. Michigan Math. J. 11 (1964), 61-63. MR 0161308 | Zbl 0117.16002
[14] Nagata J.: Modern General Topology. North-Holland Publ. Co., Amsterdam, 1968. MR 0264579 | Zbl 0598.54001
[15] Pasynkov B.A.: On the spectral decomposition of topological spaces (Russian). Mat. Sb. 66 (1965), 35-79. MR 0172236
[16] Shirota T.: A class of topological spaces. Osaka Math. J. 4 (1952), 23-40. MR 0050872 | Zbl 0047.41704
[17] Spanier E.H.: Algebraic Topology. McGraw-Hill, New York, 1966. MR 0210112 | Zbl 0810.55001
[18] Watanabe T.: Approximate resolutions and covering dimension. Topology Appl. 38 (1991), 147-154. MR 1094547 | Zbl 0716.54021
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