A non-symmetric generalization of the Borsuk -Ulam theorem
Kapil Joshi (1973)
Fundamenta Mathematicae
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Kapil Joshi (1973)
Fundamenta Mathematicae
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King, Henry, Knudson, Kevin, Mramor, Neža (2005)
Experimental Mathematics
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Marston Morse (1948)
Fundamenta Mathematicae
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B. Hajduk (1981)
Fundamenta Mathematicae
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Stanisław Spież (1990)
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Wenxue Huang (1996)
Czechoslovak Mathematical Journal
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Richard Z. Goldstein (1976)
Compositio Mathematica
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Cicortaş, G. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Tadeusz Januszkiewicz, Jacek Świątkowski (2006)
Publications Mathématiques de l'IHÉS
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...