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We prove that, for every finite-dimensional metrizable space, there exists a compactification that is Eberlein compact and preserves both the covering dimension and weight.
Takashi Kimura, and Kazuhiko Morishita. "On Eberlein compactifications of metrizable spaces." Fundamenta Mathematicae 171.3 (2002): 223-234. <http://eudml.org/doc/282665>.
@article{TakashiKimura2002, abstract = {We prove that, for every finite-dimensional metrizable space, there exists a compactification that is Eberlein compact and preserves both the covering dimension and weight.}, author = {Takashi Kimura, Kazuhiko Morishita}, journal = {Fundamenta Mathematicae}, keywords = {Eberlein compactification; dimension; weight}, language = {eng}, number = {3}, pages = {223-234}, title = {On Eberlein compactifications of metrizable spaces}, url = {http://eudml.org/doc/282665}, volume = {171}, year = {2002}, }
TY - JOUR AU - Takashi Kimura AU - Kazuhiko Morishita TI - On Eberlein compactifications of metrizable spaces JO - Fundamenta Mathematicae PY - 2002 VL - 171 IS - 3 SP - 223 EP - 234 AB - We prove that, for every finite-dimensional metrizable space, there exists a compactification that is Eberlein compact and preserves both the covering dimension and weight. LA - eng KW - Eberlein compactification; dimension; weight UR - http://eudml.org/doc/282665 ER -