Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Universal Coefficient Formula and Derivative $\varprojlim ^{(i)}
  $ Functor   In the paper the relation of homology groups of the direct limit of cochain
complexes and the inverse limit of homology groups of corresponding chain
complexes is studied. As a corollary, the tautness property of a homology
theory is obtained. Moreover, for the defined exact homology theory the
continuous property is obtained on the category of compact pairs.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga