Lectures on topology. Connected spaces and continua. (Wykłady z topologii. Zbiory spójne i kontinua. Wydanie drugie.) (Polish) Zbl 1253.54001

Mioduszewski, Jerzy

Prace Naukowe Uniwersytetu Śląskiego w Katowicach 2867. Katowice: Wydawnictwo Uniwersytetu Śląskiego (ISBN 978-83-226-1963-6/pbk). 169 p. (2011).

This book can be used as a university text and consists of nine lectures: 1. Ordered sets, 2. Topologies generated by order, 3. Connectedness in general topological spaces, 4. Curiosities of connectedness, 5. Continua, 6. Local connectedness in continua; Peano maps, 7. Non-metric continua, 8. Dendrites, 9. Indecomposable continua.
The book stands out above others because of its very pleasant style. It is written clearly, with accessible but also precise language. The book is aimed at students at various levels. Some parts are written for more advanced readers.

Reviewer: Władysław Makuchowski (Opole)

MSC:

54-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general topology
54D05	Connected and locally connected spaces (general aspects)
54F15	Continua and generalizations

Keywords:

connected space; continuum; local connectedness; dendrite; Peano maps; indecomposable continuum; non-metric continuum