-spaces and the Wallman compactification.
Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)
International Journal of Mathematics and Mathematical Sciences
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Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)
International Journal of Mathematics and Mathematical Sciences
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Alimohammadi, Davood, Moradi, Sirous (2010)
Fixed Point Theory and Applications [electronic only]
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Yves Dutrieux, Nigel J. Kalton (2005)
Studia Mathematica
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We study the Gromov-Hausdorff and Kadets distances between C(K)-spaces and their quotients. We prove that if the Gromov-Hausdorff distance between C(K) and C(L) is less than 1/16 then K and L are homeomorphic. If the Kadets distance is less than one, and K and L are metrizable, then C(K) and C(L) are linearly isomorphic. For K and L countable, if C(L) has a subquotient which is close enough to C(K) in the Gromov-Hausdorff sense then K is homeomorphic to a clopen subset of L. ...
Francesca Cagliari (1988)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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H. Toruńczyk (1972)
Fundamenta Mathematicae
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Sosov, E.N. (2001)
Lobachevskii Journal of Mathematics
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D. W. Hajek (1982)
Matematički Vesnik
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Eric K. Douwen (1980)
Commentationes Mathematicae Universitatis Carolinae
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Antti Käenmäki, Markku Vilppolainen (2008)
Fundamenta Mathematicae
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It is well known that the open set condition and the positivity of the t-dimensional Hausdorff measure are equivalent on self-similar sets, where t is the zero of the topological pressure. We prove an analogous result for a class of Moran constructions and we study different kinds of Moran constructions in this respect.
O'Regan, Donal (2006)
Journal of Applied Mathematics and Stochastic Analysis
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