ABSTRACT

This chapter presents basic results about inverse limits and related topics. It presents some basic results of inverse limits. Then a construction and a characterization of the Cantor set are given using inverse limits. With this technique, it is shown that a compactum is a continuous image of the Cantor set. Next, the chapter shows that inverse limits commute with the operation of taking finite products, cones and hyperspaces. It gives some properties of chainable continua. The chapter examines circularly chainable and P–like continua. It concludes by presenting several properties of universal maps and AH– essential maps.