telephone
When making international calls, you need to dial 00, then the country code of the country you are calling. The international code of Bratislava is +421 2, the national one is 02. You don't need to use any of these when making local calls. There mostly are cardphones in phone booths, coin phones are located e.g. in front of the telecoms office T-Centrum on Namestie SNP Dunaj department store or at Kolarska ulica. You can purchase phone cards at most newspaper kiosks and in any of the T-Centers.
Phone numbers beginning with 090, 091 or 094 are mostly mobile numbers. All of Bratislava is covered with a GSM network, the operators being Orange (http://www.orange.sk/en_o...), T-Mobile (http://www.t-mobile.sk) and O2 (http://sk.o2.com). In parts of Bratislava mostly up on the hills, mobile phones sometimes switch to Hungarian or Austrian providers, so it is better to check the network name before dialing. For best mobile roaming rates, check (http://www.roaming.gsmeur...).
internet
You can use internet for free at the information bureau in the old town.
There are several internet cafes in the city, most of them hidden. You can try to get to one of the internet access portals in the T-Centrum on Namestie SNP or in Aupark Shopping Center.
If you have a notebook computer, you can use multiple wireless hotspots throughout the city. Some of them are paid and you need to obtain a user name and password (http://www.t-mobile.sk/en...) in order to use them. Some hotels, cafes and restaurants provide free Wi-Fi to their customers. Besides that, the heart of the city center Hlavné námestie, Františkánske námestie, Primaciálne námestie is covered by a small public wireless network provided by the city council and this is free to use. There are also other places with free Wi-Fi throughout the city. A full list of these can be found on the website of the Slovak Telecoms Office (http://www.teleoff.gov.sk...).