The authors construct pullbacks of split-surjective A-infinity functors and thereby prove that (A-infinity Cat, quasi-equivalences) is a fibrant object in RelCat.
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A remark on fibrancy of ($\mbox{A$_{\infty}$Cat}$,$W^{\tiny\mbox{A}_{\infty}}_{\tiny\mbox{qe}}$)
The authors construct pullbacks of split-surjective A-infinity functors and thereby prove that (A-infinity Cat, quasi-equivalences) is a fibrant object in RelCat.