Your cheap flights to Puerto Vallarta take you to a city dedicated to giving you a fun, relaxing vacation. The biggest attraction is the beach. But when you wish to do something more, you have endless options. Many spas, like Healing Hands, pamper and care for you. Davannayoga allows you to stretch and stay fit.
Definition. A metric space is a set X together with a function d (called a metric or distance function) which assigns a real number d (x, y) to every pair x, y X satisfying the properties (or axioms): 1  d (x, y) 0 and d (x, y) = 0 x = y, 2  d (x, y) = d (y, x), 3  d (x, y) + d (y, z) d (x, z).
The product space KI (deï¬ned as the space of all functions I â K) is obviously a vector space (with pointwise addition and scalar multiplication). The product topology turns KI into a topological vector space. This can be easily veriï¬ed using Remark 1. Remark 2. If X is a vector space, then the following maps are continuous with respect