지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
The classical group completion theorem states that under a certain condition the homology of ΩBM is computed by inverting π0M in the homology of M. McDuff and Segal extended this theorem in terms of homology fibration. Recently, more general group completion theorem for simplicial spaces was developed. In this paper, we construct a symmetric monoidal 2-category A. The 1-morphisms of A are generated by three atomic 2-dimensional CW-complexes and the set of 2-morphisms is given by the group of path components of the space of homotopy equivalences of 1-morphisms. The main part of the paper is to compute the homotopy type of the group completion of the classifying space of A, which is shown to be homotopy equivalent to Z × BAut∞+.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
A. Hatcher / 2005 / Stabilization for the automorphisms of free groups with boundaries / Geom. Topol. 9 : 1295 ~ 1336
C. Jensen / 2004 / Automorphisms of free groups with boundaries / Algebr. Geom. Topol. 4 : 543 ~ 569
D. McDuff / 1975 / Configuration spaces of positive and negative particles / Topol-ogy 14 : 91 ~ 107
D. McDuff / 1976 / Homology fibrations and the group completion theorem / Invent. Math. 31 : 279 ~ 284
J. P. May / 1974 / E∞-Spaces, group completions and permutative categories / Lon-don Math. Soc. Lecture Note Ser. 11 : 61 ~ 95
C. Jensen / 2004 / Automorphisms of free groups with boundaries / Algebr. Geom. Topol. 4 : 543 ~ 569
D. McDuff / 1975 / Configuration spaces of positive and negative particles / Topol-ogy 14 : 91 ~ 107
D. McDuff / 1976 / Homology fibrations and the group completion theorem / Invent. Math. 31 : 279 ~ 284
J. P. May / 1974 / E∞-Spaces, group completions and permutative categories / Lon-don Math. Soc. Lecture Note Ser. 11 : 61 ~ 95
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A Liouville type theorem for harmonic morphisms
대한수학회지
2007 .01
-
Foundations of the theory of $\ell_{1}$ homology
대한수학회지
2004 .01
-
Cocyclic morphism sets depending on a morphism in the category of pairs
대한수학회보
2019 .01
-
Generalized Gottlieb subgroups and Serre fibrations
대한수학회보
2009 .01
-
Morphisms of varieties over ample fields
대한수학회보
2018 .01
-
Matrix operators on function-valued function spaces
한국수학논문집
2019 .01
-
FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIVE TYPE MAPPINGS IN SYMMETRIC SPACES
한국수학논문집
2008 .01
-
DIGITAL HOMOLOGY GROUPS OF DIGITAL WEDGE SUMS
호남수학학술지
2016 .01
-
Fixed point theorems in fuzzy metric spaces for mappings with some contractive type conditions
한국수학논문집
2018 .01
-
Fixed degree theorems for fuzzy mappings in symmetric spaces
한국수학논문집
2010 .01
-
GOTTLIEB SUBSETS WITH RESPECT TO A MORPHISM IN THE CATEGORY OF PAIRS
대한수학회보
2010 .01
-
PRINCIPAL FIBRATIONS AND GENERALIZED H-SPACES
충청수학회지
2016 .01
-
Multi-Dimensional Local Limit Theorems for Large Deviations
JKSS(Journal of the Korean Statistical Society)
1984 .01
-
ON BASIC ANALOGUE OF CLASSICAL SUMMATION THEOREMS DUE TO ANDREWS
호남수학학술지
2016 .01
-
Liouville type theorem for p-harmonic maps II
대한수학회논문집
2014 .01
-
A Characterization of M1-Spaces
Kyungpook Mathematical Journal
2012 .01
-
FIXED POINT THEOREMS IN MENGER SPACES AND APPLICATIONS TO METRIC SPACES
Journal of applied mathematics & informatics
2012 .01
-
EXTENSIONS OF MINIMIZATION THEOREMS AND FIXED POINT THEOREMS ON A D*-METRIC SPACE
순수 및 응용수학
2011 .01
-
COINCIDENCE THEOREMS FOR NONCOMPACT RC-MAPS IN ABSTRACT CONVEX SPACES WITH APPLICATIONS
대한수학회보
2012 .01
-
INCLUSION AND INTERSECTION THEOREMS WITH APPLICATIONS IN EQUILIBRIUM THEORY IN G-CONVEX SPACES
대한수학회지
2010 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0