Regular Direct Limits of symmetric groups



Strictly singular operators and isomorphisms of Cartesian products of power series spaces
Djakov, PB; Onal, S; Terzioglu, T; Yurdakul, Murat Hayrettin (1998-01-02)
V. P. Zahariuta, in 1973, used the theory of Fredholm operators to develop a method to classify Cartesian products of locally convex spaces. In this work we modify his method to study the isomorphic classification of Cartesian products of the kind E-0(p)(a) x E-infinity(q) (b) where 1 less than or equal to p, q < infinity, p not equal q, a = (a(n))(n=1)(infinity) and b = (b(n))(n=1)(infinity) are sequences of positive numbers and E-0(p)(a), E(infinity)q(b) are respectively l(p)-finite and l(q)-infinite type...
Local symmetries of shapes in arbitrary dimension
Tarı, Zehra Sibel (null; 1998-12-01)
Motivated by a need to define an object-centered reference system determined by the most salient characteristics of the shape, many methods have been proposed, all of which directly or indirectly involve an axis about which the shape is locally symmetric. Recently, a function v, called `the edge strength function', has been successfully used to determine efficiently the axes of local symmetries of 2-d shapes. The level curves of v are interpreted as successively smoother versions of the initial shape bounda...
Invariant subspaces of collectively compact sets of linear operators
Alpay, Safak; Misirlioglu, Tunc (Springer Science and Business Media LLC, 2008-01-01)
In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in alg Gamma satisfies Berger-Wang formula, where Gamma is a complete chain of subspaces of X.
Homogeneous monomial groups and centralizers
Kuzucuoğlu, Mahmut; Sushchanskyy, Vitaly I. (2018-01-01)
The construction of homogeneous monomial groups are given and their basic properties are studied. The structure of a centralizer of an element is completely described and the problem of conjugacy of two elements is resolved. Moreover, the classification of homogeneous monomial groups are determined by using the lattice of Steinitz numbers, namely, we prove the following: Let and be two Steinitz numbers. The homogeneous monomial groups sigma(H) and sigma(G) are isomorphic if and only if = and HG provided tha...
Canonical contact structures on some singularity links
Bhupal, Mohan Lal (Wiley, 2014-06-01)
We identify the canonical contact structure on the link of a simple elliptic or cusp singularity by drawing a Legendrian handlebody diagram of one of its Stein fillings. We also show that the canonical contact structure on the link of a numerically Gorenstein surface singularity is trivial considered as a real plane bundle.
Citation Formats
M. Kuzucuoğlu, “Regular Direct Limits of symmetric groups,” 2018, Accessed: 00, 2021. [Online]. Available: