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How can an Access database be linked over the Internet to different regions?
Keep in mind that an Access database application is really composed of three components:
1) The data layer. That is to say, the tables in which data is stored.
2) The interface layer. That is to say, the forms, reports and supporting queries through which users can interact with the data.
3) The logic layer. That is to say, the code which manipulates both data and interface programmatically.
In the typical case where people say they want to "put Access on the internet", they are thinking primarily of making the data available, at least in most cases. Your remote users need to have a common data source "in the cloud" so that they can share it. However, the other two components, the interface and logic, do not need to be deployed that way.
In one deployment scheme, you use an online database, such as a remotely hosted SQL Server or other database engine to which all users connect. Each users has a copy of the interface and logic, i.e. the Access accdb Front End, which links to those remotely hosted tables.
In the other, all of the elements of the database application are stored in a location to which users can connect using RDP or another method as The_Doc_Man suggested.
Which method is more appropriate to your circumstances depends on factors such as the availability of infrastructure to support them.