Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lascar groups and the first homology groups of strong types in rosy
  theories   For a rosy theory, we give a canonical surjective homomorphism from a Lascar
group over $A=\acl^{eq}(A)$ to a first homology group of a strong type over
$A$, and we describe its kernel by an invariant equivalence relation. As a
consequence, we show that the first homology groups of strong types in rosy
theories have the cardinalities of one or at least $2^{\aleph_0}$. We give two
examples of rosy theories having non trivial first homology groups of strong
types over $\acl^{eq}(\emptyset)$. In these examples, these two homology groups
are exactly isomorphic to their Lascar group over $\acl^{eq}(\emptyset)$.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas