Homotopy classification of PD4 complexes

Pamuk, Mehmetcik
Hegenbarth, Friedrich
We define an order relation among oriented -complexes. We show that with respect to this relation, two -complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second homology groups. We also consider minimal objects of this relation.


Ercan, Gülin; Ogut, Elif (2014-01-01)
We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C-CG(F) (h) = 1 for all nonidentity elements h is an element of H, is of nilpotent length equal to the nilpotent length of the subgroup of fixed points of H.
Automorphisms of curve complexes on nonorientable surfaces
Atalan, Ferihe; Korkmaz, Mustafa (2014-01-01)
For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.
DFT Studies on eta(6)-Coronene-Cr(CO)(3) Complexes
Türker, Burhan Lemi; Guemues, Selcuk (2009-01-01)
Two types of Cr(CO)(3) complexes of coronene have been considered theoretically at the level of DFT (B3LYP/6-31G(d)), in order to investigate some molecular orbital, electronic and thermodynamic properties. The effect of complexation on the stability and aromaticity of coronene has been investigated by NICS calculations. According to the results, both in the gas phase and in aqueous solution, B-type complex has been found to be more stable than the A-type, however, the energy difference is such that B to A ...
Bibounded uo-convergence and b-property in vector lattices
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2021-01-01)
We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X∼ ∼.
Factorization of unbounded operators on Kothe spaces
Terzioglou, T; Yurdakul, Murat Hayrettin; Zuhariuta, V (2004-01-01)
The main result is that the existence of an unbounded continuous linear operator T between Kothe spaces lambda(A) and lambda(C) which factors through a third Kothe space A(B) causes the existence of an unbounded continuous quasidiagonal operator from lambda(A) into lambda(C) factoring through lambda(B) as a product of two continuous quasidiagonal operators. This fact is a factorized analogue of the Dragilev theorem [3, 6, 7, 2] about the quasidiagonal characterization of the relation (lambda(A), lambda(B)) ...
Citation Formats
M. Pamuk and F. Hegenbarth, “Homotopy classification of PD4 complexes,” 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/44215.