The fact that you live in a building without an outdoor compound does not mean that you cannot have rabbits as pets. Thanks to the now widely available indoor rabbit cages, it becomes possible to keep rabbits as pets indoors, even where you happen to live in a place without an outdoors compound.
Indoor rabbit cages come in a great variety. Many tend to be all-wire rabbit cages, but we also have some that are primarily based on other materials, with woven wire only being deployed on part of the structure as an enhancement. As with all rabbit cages, however, it is difficult to find a properly made indoor cage which does not incorporate woven wire at least partially in its external structure. The best indoor cages tend to come with at least a couple of 'levels' - which are akin to 'floors.' These are borne out of the appreciation of the fact that the rabbit is a very playful animal, an animal that loves 'exploring' and an animal that would naturally enjoy the prospect of using a two floored/ double-decked cage.
Indoor rabbit cages differ from those built for outdoors use in a number of ways. For the most part, indoor rabbit-cages tend to be built with more aesthetic appeal than those built for outdoors use. This is born of the appreciation of the fact that indoor rabbit-cages, by virtue of being placed inside the house, become part of the furniture in whatever room they happen to be placed in. For this reason, if the rabbit lover keeping rabbits indoors happens to be a person with a refined sense of taste (interior-design wise), it becomes imperative for him or her to have rabbit-cages that don't end up messing with the look of the room they are placed in.
Indoor rabbit cages tend to incorporate small wheels (akin to those used in traveling bags). This makes it possible to move the cages around the rooms they are placed in during cleaning times, and so on.
Like all other modern rabbit-cages, indoor cages tend to incorporate what can be referred to as the 'tray' structure on their (very) bottom level, which forms the foundation and base of the cages. The upper section ends up being made of the woven wire previously alluded to, with only the portions of the whole cage structure actually made from woven wire varying from cage design to another.
Indoor rabbit cages, on the whole, tend to be bigger than rabbit-cages created for outdoors use. This is done due to space considerations indoors: as indoor space tends to be quite limited. Yet in spite of these space constraints, indoor rabbit cages still have to be large enough to comfortably accommodate the rabbits and give them playing space. Otherwise, the rabbits end up being stressed - because play is a very important component of a rabbit's life.
On the whole, indoor rabbit cages tend to come a little bit costlier than rabbit cage's built for external use. This is mainly brought about by the aesthetic considerations that go into the making of such indoor rabbit-cages.