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Article

Charalambous, M. G.
A note on the non-emptiness of the limit of approximate systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 155-157
MSC: 54B35, 54E15 | MR 1396167 | Zbl 0855.54016
Keywords:
inverse systems; approximate inverse systems; compact and uniform spaces
Summary:
Short proofs of the fact that the limit space of a non-gauged approximate system of non-empty compact uniform spaces is non-empty and of two related results are given.
References:
[1] Charalambous M.G.: Approximate inverse systems of uniform spaces and an application of inverse systems. Comment. Math. Univ. Carolinae 32 (1991), 551-565. MR 1159801 | Zbl 0785.54016
[2] Mardešić S.: On approximate inverse systems and resolutions. Fund. Math. 142 (1993), 241-255. MR 1220551
[3] Mardešić S., Rubin L.R.: Approximate inverse systems of compacta and covering dimension. Pacific J. Math. 138 (1989), 129-144. MR 0992178
[4] Mardešić S., Segal J.: $\Cal P$-like continua and approximate inverse systems. Math. Japonica 33 (1988), 895-908. MR 0975869
[5] Mardešić S., Watanabe T.: Approximate resolutions of spaces and mappings. Glas. Mat. 24 (1989), 583-633. MR 1080085
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