Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A recurrent formula of $A_{\infty}$-quasi inverses of dg-natural
  transformations between dg-lifts of derived functors   A dg-natural transformation between dg-functors is called an objectwise
homotopy equivalence if its induced morphism on each object admits a homotopy
inverse. In general an objectwise homotopy equivalence does not have a
dg-inverse but has an $A_{\infty}$ quasi-inverse. In this note we give a
recurrent formula of the $A_{\infty}$ quasi-inverse. This result is useful in
studying the compositions of dg-lifts of derived functors of schemes.

9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org