The cours offers an introduction to general topology. In particular, it teaches definitions and properties of metric spaces, topological spaces and continuous functions between them. It is a course for second year students, the notions and competences developed in this course will be helpful for subsequent courses.
The course aims to introduce the student to the foundations of the General Topology, with particular attention to the concepts of continuity, connectivity and compactness.
The goal of this course is to intruce to the techniques and to the study of general topology. In particolare the goals are:
Motivations and historical backgrounds on the beginning of topology will be partially aimed.
Moreover, the course aims to train:
At the end of the couse the student will be able to:
The courses of the first year of our Laurea in Matematica.
The goal of the lectures is to present the theoretical part of the course, as well as providing solutions to problems, whose aim is to help explain better the theory. Attendance at lectures and exercises is strongly recommended. Working students and students with certified specific learning disorders (SLD), disabilities, or other special educational needs are encouraged to contact the instructor at the beginning of the course to agree on teaching and assessment methods that, while respecting the learning objectives, take into account individual learning styles
1. M. Manetti, Topologia, seconda edizione, Springer, 2014.
2. C Kosniowski: Introduzione alla topologia algebrica , Zanichelli.
3. S. Willard, General topology, Dover, 2004.
4. V. Checcucci, A. Tognoli, A. Vesentini, Lezioni di topologia generale, Feltrinelli, 1968.
5. 3. W.S. Messey: A basic Course in Algebraic Topology , Springer.
Ricevimento: The teacher will be available for explanations by appointment, that will be agreed by email (at the email address arvid.perego@unige.it)
Ricevimento: The schedule for the weekly office hours will be indicated on Aulaweb.
22-set-2025
The timetable for this course is available here: EasyAcademy
Written and oral exam.
Students with DSA certification ("specific learning disabilities"), disability or other special equcational needs are advised to contact the professor at the beginning of the course and agree on the teaching and examination methods that are in compliance with the main teaching objectives and takes into account individual learning arrangements and provides appropriate compensatory tools.
The written part of the exam will consist in exercises on the contents of the course.
The oral part of the exam will be based on the contents of the course and will assess the overall knowledge of the student.
For any additional information not included in the course description, please contact the instructor