To be honest I haven't even heard the usual transfer rumours regarding Arsenal that are usually in the media, so I'm not surprised they haven't bought anyone this window. To be honest I didn't expect them to fight for the championship from the start and then we saw that this season is not like the others and after that I can't be confident in any team at all
Arsenal aren’t looking for any other recruitment this transfer window aside that a striker and there primary target is Ivan Tooney which Brentford have valued at around $100M. Arsenal just came out of a transfer window in which they spend hundreds of millions and it will be risky spending such amount again this window. Also Brentford are looking not to sell Ivan Tooney this window so it also contributed to the quietness of Arsenal in this transfer
Before now arsenal have really spent enough money to sign young players in the the team, and will not make sense to spend huge amount of money again it will be of total waste for the club. The mistake Arteta made is signing so many young players in the club thinking that it will strengthen the team. Arsenal would have gone for experienced players too just like the kind of players Manchester City and Liverpool has. Having good, experienced players and talented one would have help the team alot .
But right now what arsenal just need is to go for a talented striker that will help the team to perform well, arsenal without a good striker I don't think they will be ending the season well.