arbitrage to affect the price of a particular market.
it seems arbitrage is clearly possible.
But what happens if the market structure is different between exchanges?
Is arbitrage still possible?
There is not enough information provided in your question to provide you with a definitive answer.
Arbitrage may be possible one second and not possible the next given the same exchanges, or as you said inter-exchange. It is a dynamic market and therefore the answer remains dynamic; you have to find your niche or your "reliable" method if you want to arbitrage. Anything that would be publicly known would not be worth doing or would become non-profitable extremely quickly.
The market structure does not matter; the strike/price/numbers that you input and output are going to be what matters. Write out everything you plan to do, the prices, the fees, etc. and see if you come out positive, or if you're daring and confident you can just go for it and make the trades/purchases and see if you end up with more money. Either way, you will have your answer, but without more information, criteria and parameters there is no way to respond to your question, except with more questions.