How do I declare class-level properties in Objective-C?

properties have a specific meaning in Objective-C, but I think you mean something that's equivalent to a static variable? E.g. only one instance for all types of Foo?

To declare class functions in Objective-C you use the + prefix instead of - so your implementation would look something like:

// Foo.h
@interface Foo {
}

+ (NSDictionary *)dictionary;

// Foo.m
+ (NSDictionary *)dictionary {
  static NSDictionary *fooDict = nil;
  if (fooDict == nil) {
    // create dict
  }
  return fooDict;
}

I'm using this solution:

@interface Model
+ (int) value;
+ (void) setValue:(int)val;
@end

@implementation Model
static int value;
+ (int) value
{ @synchronized(self) { return value; } }
+ (void) setValue:(int)val
{ @synchronized(self) { value = val; } }
@end

And i found it extremely useful as a replacement of Singleton pattern.

To use it, simply access your data with dot notation:

Model.value = 1;
NSLog(@"%d = value", Model.value);