The 13 selected peer-reviewed papers explore such aspects of logic as an analogy between cardinal characteristics and highness properties of oracles, a non-uniformly C-productive sequence and non-constructive disjunctions, the characterization of the second

homology group of stationary type in a stable theory, some questions concerning ab initio generic structures, realizability and existence property of a constructive set theory with types, a goal-directed unbounded coalitional game and its complexity, large cardinals and higher degree theory, and degree spectra of equivalence relations.

It is known from [4] and [7] that in this case the

homology group [H.

In this setting, the concept of size function coincides with the dimension of the 0-th multidimensional persistent

homology group, i.

and transfer of seven species of the genus Pseudomonas

homology group II to the new genus with type species Burkholderia cepacia (Palleroni & Holmes 1981) comb.

2) Compute geometric realizations of a set of generators that form a basis of the first and second

homology groups of K (for the zeroth

homology group, this is trivial) in O([n.

q](X) is called the qth digital simplicial

homology group.

The invariants for two-component handlebody-links are elementary divisors of a matrix whose entries are linking numbers of closed circles corresponding to the basis of one

homology group and that of the other

homology group.

n-1] on the top

homology group of the order complex of [[PI].

heilmannii" type 2 were highly related and formed a distinct cluster within the rRNA

homology group III (i.

In fact, it computes this homotopy group as a

homology group of another space (simplicial set): [K.

The modules of this subchain complex are lifts of

homology groups [H.

Decomposition theorem for

homology groups of symmetric groups.