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math.AT2007★ 1 cited
Categorical aspects of toric topology
Taras Panov, Nigel Ray
We argue for the addition of category theory to the toolkit of toric topology, by surveying recent examples and applications. Our case is made in terms of toric spaces X_K, such as…
math.AT2004
Homotopy decompositions and K-theory of Bott towers
Yusuf Civan, Nigel Ray
We describe Bott towers as sequences of toric manifolds M^k, and identify the omniorientations which correspond to their original construction as toric varieties. We show that the…
math.AT2000
Tangential Structures on Toric Manifolds, and Connected Sums of Polytopes
Victor M. Buchstaber, Nigel Ray
We extend work of Davis and Januszkiewicz by considering {\it omnioriented} toric manifolds, whose canonical codimension-2 submanifolds are independently oriented. We show that eac…