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V -dualities and ⊥-dualities

Optimization, 1991
We introduce and study dualities △:[Rbar]x → [Rbar]w (i.e., mappings f e [Rbar]x → f △ e [Rbar]w such that for all {fi }ie1 ∈ Rx and all index sets I), which satisfy the additional condition and their duals, which are characterized as those dualities △*:Rx → Rw for which , where ⊥ and ⊺ are two new binary operations on [Rbar], which we introduce here ...
J.E. Martínez-Legaz, I. Singer
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Duality of Ends

Combinatorics, Probability and Computing, 2009
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism * between the end spaces of a graph and its dual, and that * preserves the ‘end degree’. In particular, * maps thick ends to thick ends. Along the way, we prove that Tutte-connectivity is invariant under taking (infinite) duals.
Henning Bruhn, Maya Jakobine Stein
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Natural Dualities

Algebras and Representation Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mantese F, TONOLO, ALBERTO
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