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
An open smooth manifold is said of \textit{finite geometric rank} if it admits a handlebody decomposition with a finite number of 1-handles. We prove that, if there exists a proper submanifold $W^{n+3}$ of finite geometric rank between an open 3-manifold $V^3$ and its stabilization $V^3 \times B^n$ (where $B^n$ denotes the standard $n$-ball), then the manifold $V^3$ has the \textit{Tucker property}. This means that for any compact submanifold $C\subset V^3$, the fundamental group $\pi_1 (V^3 - C)$ is finitely generated. In the irreducible case this implies that $V^3$ has a well-behaved compactification.
목차
등록된 정보가 없습니다.
참고문헌 (27)
참고문헌 신청
D. E. Otera / / Finitely presented groups and the Whitehead nightmare / Groups, Geom., Dyn
D. E. Otera / / Tame combings and easy groups / Forum Math
D. E. Otera / 2007 / On the proper homotopy invariance of the Tucker property / Acta Math. Sin. (Engl. Ser.) 23 (3) : 571 ~ 576
D. E. Otera / 2009 / On the wgsc property in some classes of groups / Mediterr. J. Math 6 (4) : 501 ~ 508
D. E. Otera / 2010 / On geometric simple connectivity / Bull. Math. Soc. Sci. Math. Roumanie 53(101) (2) : 157 ~ 176
D. E. Otera / / Tame combings and easy groups / Forum Math
D. E. Otera / 2007 / On the proper homotopy invariance of the Tucker property / Acta Math. Sin. (Engl. Ser.) 23 (3) : 571 ~ 576
D. E. Otera / 2009 / On the wgsc property in some classes of groups / Mediterr. J. Math 6 (4) : 501 ~ 508
D. E. Otera / 2010 / On geometric simple connectivity / Bull. Math. Soc. Sci. Math. Roumanie 53(101) (2) : 157 ~ 176
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Equivalence of Z4-actions on Handlebodies of Genus g
Kyungpook Mathematical Journal
2016 .01
-
Rational homology balls in 2-handlebodies
대한수학회보
2017 .01
-
Equivalence of Cyclic p-squared Actions on Handlebodies
Kyungpook Mathematical Journal
2018 .01
-
Notes on finitely generated flat modules
대한수학회보
2020 .01
-
CERTAIN RESULTS ON SUBMANIFOLDS OF GENERALIZED SASAKIAN SPACE-FORMS
호남수학학술지
2020 .01
-
Riesz projections for a non-hyponormal operator
한국수학논문집
2016 .01
-
On f-biharmonic Submanifolds of Three Dimensional Trans Sasakian Manifolds
Kyungpook Mathematical Journal
2021 .01
-
Submanifolds of Sasaki-like Almost Contact Manifolds with B-metric
Kyungpook Mathematical Journal
2020 .01
-
When every finitely generated regular ideal is finitely presented
대한수학회논문집
2024 .04
-
On generic submanifolds of LP-Sasakian manifolds with concurrent vector fields
대한수학회논문집
2021 .01
-
Gauss maps of ruled submanifolds and applications $I$
대한수학회지
2016 .01
-
A note on compact M\"{o}bius homogeneous submanifolds in $\mathbb{S}^{n+1}$
대한수학회보
2019 .01
-
Non-finitely based finite involution semigroups with finitely based semigroup reducts
한국수학논문집
2019 .01
-
Generic submanifolds of trans-Sasakian manifolds with certain vector fields
한국수학논문집
2021 .01
-
On prime submodules of a finitely generated projective module over a commutative ring
대한수학회논문집
2019 .01
-
On maximal compact frames
한국수학논문집
2021 .09
-
Some Types of Slant Submanifolds of Bronze Reimannian Manifolds
순수 및 응용수학
2022 .11
-
$f$-biharmonic submanifolds and $f$-biharmonic integral submanifolds in locally conformal almost cosymplectic space forms
대한수학회논문집
2022 .04
-
Euclidean submanifolds with conformal canonical vector field
대한수학회보
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0