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Main menu for Browse IS/STAG
Courses found, count: 1
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Abbreviation unit / Course abbreviation |
Title |
Variant |
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KMA
/
TPL
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Topology
Show course
Topology
|
2023/2024
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Course info
KMA / TPL
:
Course description
Department/Unit / Abbreviation
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KMA
/
TPL
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Academic Year
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2023/2024
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Academic Year
|
2023/2024
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Title
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Topology
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Form of course completion
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Exam
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Form of course completion
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Exam
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Accredited / Credits
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Yes,
4
Cred.
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Type of completion
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Oral
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Type of completion
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Oral
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Time requirements
|
Lecture
2
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
|
Yes
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Course credit prior to examination
|
Yes
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Automatic acceptance of credit before examination
|
No
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Included in study average
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YES
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Language of instruction
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-
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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YES
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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-
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
|
Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
|
None
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Preclusive courses
|
N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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This course is an introduction to general topology. Its objective is to familiarise the students with the concepts and methods of this discipline.
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Requirements on student
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Oral examination only. The student is assigned one topic from a list distributed in advance.
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Content
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1. Metric spaces, continuous mappings.
2. Topological spaces.
3. Subspaces, the cartesian product of spaces.
4. Connected and path-connected spaces.
5. Convergence and compactness.
6. Separation axioms.
7. Uniform spaces.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Extending:
Čech, Eduard. Bodové množiny. 2. rozš. vyd. Praha : Academia, 1966.
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Extending:
Bredon, Glen E. Topology and geometry. New York Springer, 1993. ISBN 0-387-97926-3.
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Recommended:
Munkres, James R. Topology. 2nd ed. Upper Saddle River : Prentice Hall, 2000. ISBN 0-13-181629-2.
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Recommended:
J. Adámek, V. Koubek, J. Reitermann. Základy obecné topologie, Matem. seminář. SNTL, 1977.
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On-line library catalogues
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Time requirements
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All forms of study
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Activities
|
Time requirements for activity [h]
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Preparation for an examination (30-60)
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52
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Contact hours
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52
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Total
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104
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
The only prerequisite is a moderate level of experience with mathematical thinking and proof techniques. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Upon completion of this course, students will acquire basic orientation in the subject and become capable of independent study of the literature. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Oral exam |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture |
Practicum |
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