Shellable complexes and homology on $\Pi_n$ = Shellable 위상복합체와 $\Pi_n$의 호몰로지

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Shellability and homology of finite poset are closely related. The homotopy of shellable simplicial complex is equivalent to the homotopy of some wedge of spheres. And we can abtain the basis elements of the homology of shellable simplicial complexes. Finally the homology groups of geometric lattice are calculated. We show that the homology group of $∏_n$ which is a geometry lattice of length n-1 is vanish in all dimensions except the top dimension n-3, when n≥2.
Advisors
Kim, Dong-Suresearcher김동수researcher
Description
한국과학기술원 : 수학과,
Publisher
한국과학기술원
Issue Date
1997
Identifier
112767/325007 / 000953388
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학과, 1997.2, [ [ii], 23 p. ; ]

Keywords

$\Pi_n$; Homology; Shellable complexes; Combinatorics; 조합수학; $\Pi_n$; 호몰로지; Shellable 위상복합체

URI
http://hdl.handle.net/10203/41961
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=112767&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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