… The set of homotopy types of finite 2-complexes X with fixed π1(X) ∼= G can therefore be
viewed as a tree (an acyclic graph) with edges between each X and X ∨S2. This tree is …

… chain complex of K, C•(K, G), is the differential Z-graded module where Ck(K, G) is the free
G-module … In this section, K denotes a d-periodic cellular complex equipped with a group of …

… complex S(g) is not acyclic; in fact, its homology is precicely what interests us. Note that the
total complex is periodic … To involve A, we consider the K-module A in the group ring IK[©4 ^] …

… in which two grafted copper complexes coordinate only one … -metallic macrocyclic complexes
were transferred from a water… of solutions containing these metal complexes gave a clear …

… is the periodic version of the spectrum of topological modular … that complex K -theory is
determined by complex cobordism: … where K∗ is a module over the complex cobordism ring of the …

… of a finite Z-acyclic CW complex admitting a cellular map of … Moreover, for a real G-module
V and a G-space X, we denote … Let a0 be the unique fixed point of a p-periodic cellular map …

… module whose Betti numbers are bounded. then the minimal resolution of M by free A-modules
is eventually periodic … The complex map E (where k is viewed as a complex concentrated …

… If, on the other hand, X is E*-acyclic we say that X is dissonant… of the connective and periodic
complex K-theory localized at … graded module over it is a direct sum of cyclic modules of the …

… theorem for the periodic cyclic homology of quotient stacks, we prove that the periodic cyclic
… We find, then that IndCoh(S) consists of complexes of A-modules on which u locally acts by …

… If M is a periodic A-module (ie, Ωr(M) ∼= M … periodic acyclic co-chain complex. If we drop
the assumption on acyclicty then we may ask whether there exist minimal periodic complexes …