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.
이용수
초록· 키워드
오류제보하기
For a pointed space X, the subgroups of self-homotopy equivalences
Aut#N (X), AutΩ(X), Aut*(X) and Aut∑(X) are considered,
where Aut#N (X) is the group of all self-homotopy classes f of X such
that f# = id : πi(X) → πi(X) for all i ≤ N ≤ ∞, AutΩ(X) is the group
of all the above f such that Ωf = id; Aut*(X) is the group of all selfhomotopy
classes g of X such that g* = id : Hi(X) → Hi(X) for all i ≤ ∞, Aut∑(X) is the group of all the above g such that ∑g = id. We will prove that AutΩ(X₁×...×Xn) has two factorizations similar to those of Aut#N (X₁×...×Xn) in reference [10], and that Aut§(X₁∨...∨Xn), Aut*(X₁∨...∨ Xn) also have factorizations being dual to the former two cases respectively.
목차
등록된 정보가 없습니다.
참고문헌 (14)
참고문헌 신청
E. D. Farjoun / 1979 / Unipotency and nilpotency in homotopy equivalences / Topology 18 (3) : 187 ~ 197
H. B. Yu / 2005 / The self-homotopy equivalence group of wedge spaces / Acta Mathematica Sinica Chinese Series 48 (5) : 895 ~ 900
J. Rutter / 1997 / Spaces of Homotopy Self-Equivalences, A survey. Lecture Notes in Mathematics / Springer-Verlag : 1662 ~
K. Maruyama / 1989 / Localization of a certain subgroup of self-homotopy equivalences / Pacific Journal of Mathematics 136 (2) : 293 ~ 301
K. Maruyama / 1990 / Localization of self-homotopy equivalences inducing the identity on homology / Math. Proc. Cambridge Philos. Soc. : 291 ~ 297
H. B. Yu / 2005 / The self-homotopy equivalence group of wedge spaces / Acta Mathematica Sinica Chinese Series 48 (5) : 895 ~ 900
J. Rutter / 1997 / Spaces of Homotopy Self-Equivalences, A survey. Lecture Notes in Mathematics / Springer-Verlag : 1662 ~
K. Maruyama / 1989 / Localization of a certain subgroup of self-homotopy equivalences / Pacific Journal of Mathematics 136 (2) : 293 ~ 301
K. Maruyama / 1990 / Localization of self-homotopy equivalences inducing the identity on homology / Math. Proc. Cambridge Philos. Soc. : 291 ~ 297
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES
대한수학회논문집
2010 .01
-
CERTAIN SUBGROUPS OF SELF-HOMOTOPY EQUIVALENCES OF THE WEDGE OF TWO MOORE SPACES II.
순수 및 응용수학
2009 .01
-
KD-(k0, k1)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
대한수학회지
2010 .01
-
Certain Subgroup E(X, K, G) of the Relative Homotopy Groups of a Transformation Group
충청수학회지
1992 .01
-
On the Envelopes of Homotopies
Kyungpook Mathematical Journal
2009 .01
-
Note on the Codimension Two Splitting Problem
Kyungpook Mathematical Journal
2019 .01
-
Certain Subgroup E(X, Y, K, G) of the Relative Homotopy Groups of a Transformation Group
충청수학회지
1993 .01
-
REMARKS ON HOMOTOPIES ASSOCIATED WITH KHALIMSKY TOPOLOGY
호남수학학술지
2015 .01
-
CERTAIN SEQUENCES OF EVALUATION SUBGROUPS
충청수학회지
1996 .01
-
SOLUTION OF TENTH AND NINTH-ORDER BOUNDARY VALUE PROBLEMS BY HOMOTOPY PERTURBATION METHOD
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2010 .03
-
THE OPTIMAL HOMOTOPY ANALYSIS METHOD FOR SOLVING A MODEL FOR HIV INFECTION OF CD4+ T-CELL
한국산업응용수학회 학술대회 논문집
2012 .05
-
SELF-HOMOTOPY EQUIVALENCES RELATED TO COHOMOTOPY GROUPS
대한수학회지
2017 .01
-
REMARKS ON DIGITAL HOMOTOPY EQUIVALENCE
호남수학학술지
2007 .01
-
Self-homotopy equivalences of Moore spaces depending on cohomotopy groups
대한수학회지
2019 .01
-
Evaluation subgroups of homogeneous spaces of compact Lie groups
대한수학회보
2013 .01
-
A homotopy continuation method for solving a matrix equation
대한수학회지
2018 .01
-
A proset structure induced from homotopy classes of maps and a classification of fibrations
대한수학회논문집
2019 .01
-
V-SEMICYCLIC MAPS AND FUNCTION SPACES
충청수학회지
1996 .01
-
REMARKS ON SIMPLY k-CONNECTIVITY AND k-DEFORMATION RETRACT IN DIGITAL TOPOLOGY
호남수학학술지
2014 .01
-
THE VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR ANALYTIC TREATMENT FOR LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
Journal of applied mathematics & informatics
2010 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0