-spaces and the Wallman compactification.
Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Alimohammadi, Davood, Moradi, Sirous (2010)
Fixed Point Theory and Applications [electronic only]
Similarity:
Yves Dutrieux, Nigel J. Kalton (2005)
Studia Mathematica
Similarity:
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
Similarity:
H. Toruńczyk (1972)
Fundamenta Mathematicae
Similarity:
Sosov, E.N. (2001)
Lobachevskii Journal of Mathematics
Similarity:
D. W. Hajek (1982)
Matematički Vesnik
Similarity:
Eric K. Douwen (1980)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Antti Käenmäki, Markku Vilppolainen (2008)
Fundamenta Mathematicae
Similarity:
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
Similarity:
T. Przymusiński (1976)
Colloquium Mathematicae
Similarity:
Ondřej Zindulka (2012)
Fundamenta Mathematicae
Similarity:
We prove that each analytic set in ℝⁿ contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. Similar results also hold for universally meager sets. An essential part of the construction involves an analysis of Lipschitz-like mappings of separable metric spaces onto Cantor cubes and self-similar sets.