Completeness of the (LB)-spacesV C(X)

Dedicated to Professor H. G. Tillmann on the occasion of his 65th birthday     

A note on a P ≠ NP result for a restricted class of real machines

For a class of real machines using only linear functionals as computations and equality-tests, we show that the classes P and NP differ.     

Konstruktion lokalkompakter Fastkörper

It is the aim of this paper to present an extensive class of disconnected locally compact nearfields. They are all Dickson nearfields and derived from tamely ramified extensions of local fields.     

First carbohydrate liquid crystals of columnar structure

S, S-Dialkylacetals of aldoses, tripodal in structure and recently synthesized in large numbers by three groups, do not exhibit thermotropically a smectic, but a columnar hexagonal mesophase (Hx) as we have proved by X-ray diffraction. The molecular organization in this mesophase is comparable with a similar one known for phasmidic molecules. These various multiols, although different in stereo-chemistry, form only one type of hydrogen-bonded disc-shaped multimer. Its mesophase structure is made up of about five molecules placed in columns with a skeleton of hydrogen-bridged sugar parts surrounded by thioalkyl groups in the periphery. Since three 6-deoxy sugar dithioacetals were shown to be non-thermomesomorphic the terminal hydroxyl function is essential for this molecular arrangement which seems not to be true for missing ones in the inner part of a sugar chain, as we have found in one case.