General Topology (AN2)
 Ελληνική Έκδοση
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 Department of Mathematics
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General
School  School of Science 

Academic Unit  Department of Mathematics 
Level of Studies  Graduate 
Course Code  AN2 
Semester  1 
Course Title  General Topology 
Independent Teaching Activities  Lectures (Weekly Teaching Hours: 3, Credits: 7.5) 
Course Type  General Background 
Prerequisite Courses   
Language of Instruction and Examinations  Language of Instruction (lectures): Greek Language of Instruction (activities other than lectures): Greek and English Language of Examinations: Greek and English 
Is the Course Offered to Erasmus Students  Yes 
Course Website (URL)  See eCourse, the Learning Management System maintained by the University of Ioannina. 
Learning Outcomes
Learning outcomes  Using the Bloom Taxonomy. All the following sets are considered to be arbitrary subsets of an arbitrary Euclidean normed space of finite dimension. Remembering:
Comprehension:
Applying:
Evaluating: Teaching undergraduate courses. 

General Competences 

Syllabus
Topological spaces, methods of generating topologies, continuous mappings, axioms of separation, Frechet spaces, subspaces, Cartesian products, quotient spaces, function spaces, compact spaces, locally compact spaces, compactifications, countably compact spaces, pseudocompact spaces, sequentially compact spaces, totally bounded and complete metric spaces, paracompact spaces, countably paracompact spaces, connected spaces, kinds of disconnectedness, dimension of topological spaces and its basic properties, uniform spaces, totally bounded, complete and compact uniform spaces, proximity spaces.
Teaching and Learning Methods  Evaluation
Delivery 
 

Use of Information and Communications Technology 
 
Teaching Methods 
 
Student Performance Evaluation 
Language of evaluation: Greek and English.
The aforementioned information along with all the required details are available through the course’s website. The information is explained in detail at the beginning of the semester, as well as, throughout the semester, during the lectures. Reminders are also posted at the beginning of the semester and throughout the semester, through the course’s website. Upon request, all the information is provided using email or social networks. 
Attached Bibliography
 Ryszard Engelking  General Topology.
 James Munkres  Topology.
 John Kelley  General Topology.