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On the Cantor and Hilbert cube frames and the Alexandroff-Hausdorff theorem
Affiliation:1. Universidad Autónoma de Ciudad Juárez, Av. Plutarco Elías Calles, 32310 Ciudad Juárez, Chih., Mexico;2. 500 W University Ave, Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX, 79968, USA;3. Departamento de Matemáticas, Centro Universitario de Ciencias Exactas e Ingenierías, Universidad de Guadalajara, Blvd. Marcelino García Barragán, 44430, Guadalajara, Jalisco, Mexico;1. Institute of Mathematics of the Czech Academy of Sciences, ?itná 25, 115 67 Prague 1, Czech Republic;2. Laboratory of Algebra and Number Theory, Institute for Information Transmission Problems, Moscow 127051, Russia;3. Charles University, Faculty of Mathematics and Physics, Department of Algebra, Sokolovská 83, 186 75 Praha, Czech Republic;1. School of Mathematics and Applied Statistics, University of Wollongong, Northfields Avenue, Wollongong NSW 2522, Australia;2. School of Mathematics and Statistics, Victoria University of Wellington, PO Box 600, Wellington 6140, New Zealand;3. Mathematical Institute, WWU Münster, Einsteinstr. 62, 48149 Münster, Germany;4. Mathematical Sciences Research Centre, Queen''s University Belfast, Belfast, BT7 1NN, United Kingdom;5. Department of Mathematics and Statistics, California State University, Long Beach, CA, United States;6. Faculty of Science, Durham University, Durham, DH1 3LE, United Kingdom;1. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India;2. Department of Mathematical Sciences, Indian Institute of Science Education and Research Mohali, Sector 81, Mohali (Punjab) 140306, India
Abstract:
Keywords:Frames  Locales  Cantor set  Point-free topology
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