Some new applications of orbit harmonics.
Garsia, A.M., Wallach, N.R. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Garsia, A.M., Wallach, N.R. (2003)
Séminaire Lotharingien de Combinatoire [electronic only]
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Benjamin, E., Bresinsky, H. (2004)
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Patil, Dilip P., Tamone, Grazia (2007)
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Yaki Sternfeld (1995)
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We prove that if f is a k-dimensional map on a compact metrizable space X then there exists a σ-compact (k-1)-dimensional subset A of X such that f|X∖A is 1-dimensional. Equivalently, there exists a map g of X in such that dim(f × g)=1. These are extensions of theorems by Toruńczyk and Pasynkov obtained under the additional assumption that f(X) is finite-dimensional. These results are then extended to maps with fibers restricted to some classes of spaces other than the class of k-dimensional...
Krotov, A.V. (2000)
Siberian Mathematical Journal
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Ayupov, Sh.A., Omirov, B.A. (2004)
Sibirskij Matematicheskij Zhurnal
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Uskova, N.B. (2000)
Sibirskij Matematicheskij Zhurnal
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