Characterizing realcompact spaces as limits of approximate polyhedral systems
Matijević, Vlasta
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 783-793 / Harvested from Czech Digital Mathematics Library
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Realcompact spaces can be characterized as limits of approximate inverse systems of Polish polyhedra.

Publié le : 1995-01-01
Classification:  54B25,  54B35,  54C56,  54D30,  54D60 
@article{118805,
     author = {Vlasta Matijevi\'c},
     title = {Characterizing realcompact spaces as limits of approximate polyhedral systems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {783-793},
     zbl = {0893.54021},
     mrnumber = {1378699},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118805}
}

Matijević, Vlasta. Characterizing realcompact spaces as limits of approximate polyhedral systems. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 783-793. http://gdmltest.u-ga.fr/item/118805/

Čerin Z. Recognizing approximate $(\Cal A,\Cal B,\Cal C)$-tameness, Acta Math. Univ. Comenianae 62:2 (1993), 207-219. (1993) | MR 1270508 | Zbl 0846.54010

Engelking R. General Topology, Monografie Matematyczne 60, Polish Scientific Publishers, Warszawa, 1977. | MR 0500780 | Zbl 0684.54001

Fedorchuk V.V.; Chigogidze A.Ch. Absolute Retracts and Infinite Dimensional Manifolds (Russian), Nauka, Moscow, 1992. | MR 1202238

Gillman L.; Jerison M. Rings of Continuous Functions, D. van Nostrand Co., Princeton, 1960. | MR 0116199 | Zbl 0327.46040

Sze-Tsen Hu Theory of Retracts, Wayne State University Press, Detroit, 1965. | MR 0181977 | Zbl 0029.32203

Mardešić S. Strong shape of the Stone-Čech compactification, Comment. Math. Univ. Carolinae 33:3 (1992), 533-539. (1992) | MR 1209294

Mardešić S.; Matijević V. $\Cal P$-like spaces are limits of approximate $\Cal P$-resolution, Topology Appl. 45 (1992), 189-202. (1992) | MR 1180809

Mardešić S.; Rubin L.R. Approximate inverse systems of compacta and covering dimension, Pacific J. Math. 138 (1989), 129-144. (1989) | MR 0992178

Mardešić S.; Segal J. Shape Theory, North-Holland Publ. Co., Amsterdam, 1982. | MR 0676973

Mardešić S.; Uglešić N. On irreducible mappings into polyhedra, Topology Appl. 61 (1995), 187-203. (1995) | MR 1314618

Mardešić S.; Watanabe T. Approximate resolutions of spaces and mappings, Glasnik Mat. 24 (1989), 587-637. (1989) | MR 1080085

Matijević V. Spaces having approximate resolutions consisting of finite-dimensional polyhedra, Publ. Math. Debrecen, to appear. | MR 1336370

Mrowka S. An elementary proof of Katětov's theorem concerning $Q$-spaces, Michigan Math. J. 11 (1964), 61-63. (1964) | MR 0161308 | Zbl 0117.16002

Nagata J. Modern General Topology, North-Holland Publ. Co., Amsterdam, 1968. | MR 0264579 | Zbl 0598.54001

Pasynkov B.A. On the spectral decomposition of topological spaces (Russian), Mat. Sb. 66 (1965), 35-79. (1965) | MR 0172236

Shirota T. A class of topological spaces, Osaka Math. J. 4 (1952), 23-40. (1952) | MR 0050872 | Zbl 0047.41704

Spanier E.H. Algebraic Topology, McGraw-Hill, New York, 1966. | MR 0210112 | Zbl 0810.55001

Watanabe T. Approximate resolutions and covering dimension, Topology Appl. 38 (1991), 147-154. (1991) | MR 1094547 | Zbl 0716.54021