Ordered products of topological groups

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Topological Abelian Groups with Ordered Norms

The purpose of this paper is to study Abelian groups with a norm whose values are in another Abelian group having an order relation. Postulates on the ordering are given which are sufficient for the space to be a topological group under the neighborhood system of this norm. It is seen that the added assumption that the ordering is Archimedian implies the space is a subset of a normed linear spa...

متن کامل

Locally Solid Topological Lattice-ordered Groups

Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid topological lattice-ordered groups. We give both Roberts-Namioka-type characterization and Fremlin-type characterization of locally solid topolo...

متن کامل

Permutational Products of Lattice Ordered Groups

Let H be a group, let {G(: i e 1} be a set of groups and, for each i, let 9t be a a monomorphism: H -* Gt, with H9t = Hi. We call such a system of groups and monomorphisms an amalgam and denote it by [G{; H; 9,; / / , ] . By an embedding of the amalgam into a group G is meant a set of monomorphisms (p; : G; -*• G such that 9i<pi = 0j<Pj-, for all i,j and G,<P; n Gjcpj — H9k<pk, for all i,j, k. ...

متن کامل

Direct Products of Ordered Abelian Groups

In this paper we study some theories of direct products of ordered abelian

متن کامل

Subgroups of Free Topological Groups and Free Topological Products of Topological Groups

Introduction Our objectives are topological versions of the Nielsen-Schreier Theorem on subgroups of free groups, and the Kurosh Theorem on subgroups of free products of groups. It is known that subgroups of free topological groups need not be free topological [2, 6, and 9]. However we might expect a subgroup theorem when a continuous Schreier transversal exists, and we give such a result in th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society

سال: 1987

ISSN: 0305-0041,1469-8064

DOI: 10.1017/s030500410006730x