By Lev Bukovský (auth.)
The quick improvement of set thought within the final fifty years, quite often in acquiring lots of independence effects, strongly encouraged an realizing of the constitution of the true line. This booklet is dedicated to the research of the true line and its subsets taking into consideration the hot result of set idea. at any time when attainable the presentation is finished with no the complete axiom of selection. because the e-book is meant to be self-contained, all beneficial result of set conception, topology, degree thought, descriptive set concept are revisited with the aim to dispose of superfluous use of an axiom of selection. The duality of degree and classification is studied in a close demeanour. numerous statements concerning homes of the genuine line are proven to be undecidable in set conception. The metamathematics at the back of it really is presently defined within the appendix. every one part incorporates a sequence of workouts with extra results.