Brief Information
- Name : Topology 1 위상수학1
- Lecturer : Cho Hyanggam 조향감
- Semester : 2016 Spring
- Major?: BS, Mathematics
- Textbook
- Syllabus : Syllabus_2016-5-1__Topology 1.pdf
- In?short
- Retake
Assignments
- Topology 1) Assignment 1.pdf
- Topology 1) Assignment 2.pdf
Tests
The 1st Test
- topology, topological space, open set, closed set, closure, interior, exterior, boundary, base, continuity
The 2nd Test
- open map, closed map, homeomorpism, homeomorphic, subspace, subspace topology, relative topology, identification map, identification topology
The 3rd Final Test
Lectures
1. Topology and Open Sets | 2016-03-04 Fri.
- The definition of ‘topology’
- The definition of ‘open set’
- How to prove or disprove a given collection is a topology.
2. Various Topologies | 2016-03-11 Fri.
- The usual topology 보통위상
- \mathfrak{U} = \{ U\subseteq \mathbb{R} \ |\ a,b \in \mathbb{R} \wedge \exists x \in (a,b) \subseteq U \}
- The discrete topology 이산위상
- The indiscrete?topology 밀착위상
- The lower limit topology 아래끝위상
- The open half-line topology 열린반직선위상
- The Michael line topology 마이클직선위상
- Neighborhood 근방
- particular point topology 특수점위상
- The finite complement topology[co-finite topology] 여유한위상
- The countable complement topology 여가산위상