On the D(2)-problem for free groups
- 발행기관 서강대학교 일반대학원
- 지도교수 조장현
- 발행년도 2011
- 학위수여년월 2011. 8
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/sogang/000000046822
- 본문언어 한국어
- 저작권 서강대학교의 논문은 저작권보호를 받습니다.
초록/요약
This thesis is concerned with the D(2)-problem which asks whether a finite connected 3-dimensional CW-complex X is necessarily homotopy equivalent to a finite 2-dimensional CW-complex X if X is cohomologically 2-dimensional. First, we study the 2-dimensional realization problem which is closely related to the D(2)-problem. Second, we review the result of F. E. A. Johnson which says that the D(2)-problem has an affirmative answer for all free groups of finite rank.
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