A note on the non-emptiness of the limit of approximate systems

Michael G. Charalambous

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 1, page 155-157
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Charalambous, Michael G.. "A note on the non-emptiness of the limit of approximate systems." Commentationes Mathematicae Universitatis Carolinae 37.1 (1996): 155-157. <http://eudml.org/doc/247868>.

@article{Charalambous1996,
abstract = {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.},
author = {Charalambous, Michael G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {inverse systems; approximate inverse systems; compact and uniform spaces; approximate inverse systems; compact uniform spaces},
language = {eng},
number = {1},
pages = {155-157},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the non-emptiness of the limit of approximate systems},
url = {http://eudml.org/doc/247868},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Charalambous, Michael G.
TI - A note on the non-emptiness of the limit of approximate systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 1
SP - 155
EP - 157
AB - 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.
LA - eng
KW - inverse systems; approximate inverse systems; compact and uniform spaces; approximate inverse systems; compact uniform spaces
UR - http://eudml.org/doc/247868
ER -

References

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  1. Charalambous M.G., Approximate inverse systems of uniform spaces and an application of inverse systems, Comment. Math. Univ. Carolinae 32 (1991), 551-565. (1991) Zbl0785.54016MR1159801
  2. Mardešić S., On approximate inverse systems and resolutions, Fund. Math. 142 (1993), 241-255. (1993) MR1220551
  3. Mardešić S., Rubin L.R., Approximate inverse systems of compacta and covering dimension, Pacific J. Math. 138 (1989), 129-144. (1989) MR0992178
  4. Mardešić S., Segal J., 𝒫 -like continua and approximate inverse systems, Math. Japonica 33 (1988), 895-908. (1988) MR0975869
  5. Mardešić S., Watanabe T., Approximate resolutions of spaces and mappings, Glas. Mat. 24 (1989), 583-633. (1989) MR1080085

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