Homotopy self-equivalences of 4-manifolds with pi(1)-free second homotopy

Date

2011-07-01

Author

Pamuk, Mehmetcik

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

232
views

0
downloads

We calculate the group of homotopy classes of homotopy self-equivalences of 4-manifolds with pi(1)-free second homotopy.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/37420

Journal

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN

DOI

https://doi.org/10.2969/jmsj/06330801

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

ON THE STRUCTURE OF GENERALIZED ALBANESE VARIETIES ONSIPER, H (Cambridge University Press (CUP), 1992-03-01) Given a smooth projective surface X over an algebraically closed field k and a modulus (an effective divisor) m on X, one defines the idle class group Cm(X) of X with modulus m (see 1, chapter III, section 4). The corresponding generalized Albanese variety Gum and the generalized Albanese map um:X|m|Gum have the following universal mapping property (2): if :XG is a rational map into a commutative algebraic group which induces a homomorphism Cm(X)G(k) (1, chapter III, proposition 1), then factors uniquely th...
THE CLASS OF (2,2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT p(3) HAS BOUNDED REPRESENTATION TYPE Arnold, David M.; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (Cambridge University Press (CUP), 2015-08-01) The class of almost completely decomposable groups with a critical typeset of type (2,2) and a homocyclic regulator quotient of exponent p(3) is shown to be of bounded representation type. There are only 16 isomorphism at p types of indecomposables, all of rank 8 or lower.
On quasi-compactness of operator nets on Banach spaces Emelyanov, Eduard (Institute of Mathematics, Polish Academy of Sciences, 2011-01-01) The paper introduces a notion of quasi-compact operator net on a Banach space. It is proved that quasi-compactness of a uniform Lotz-Rabiger net (T(lambda))(lambda) is equivalent to quasi-compactness of some operator T(lambda). We prove that strong convergence of a quasi-compact uniform Lotz-Rabiger net implies uniform convergence to a finite-rank projection. Precompactness of operator nets is also investigated.
On the Krall-type polynomials on q-quadratic lattices Alvarez-Nodarse, R.; Adiguzel, R. Sevinik (Elsevier BV, 2011-08-01) In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. (C) 2011 Royal Net...
NONCOMMUTATIVE MACKEY THEOREM Dosi, Anar (World Scientific Pub Co Pte Lt, 2011-04-01) In this note we investigate quantizations of the weak topology associated with a pair of dual linear spaces. We prove that the weak topology admits only one quantization called the weak quantum topology, and that weakly matrix bounded sets are precisely the min-bounded sets with respect to any polynormed topology compatible with the given duality. The technique of this paper allows us to obtain an operator space proof of the noncommutative bipolar theorem.

Citation Formats

M. Pamuk, “Homotopy self-equivalences of 4-manifolds with pi(1)-free second homotopy,” JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, pp. 801–814, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37420.