A space homeomorphic to each uncountable closed subspace under CH

A Rigid Space Homeomorphic to Hilbert Space

A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. This is in sharp contrast to the behavior of operators on `2, and so rigid spaces are, from the viewpoint of functional analysis, fundamentally different from Hilbert space. Nevertheless, we show in this paper that a rigid space can be constructed which is topologically homeomorp...

Closed-loop subspace identification using the parity space

It is known that many subspace algorithms give biased estimates for closed-loop data due to the existence of feedback. In this paper we present a new subspace identification method using the parity space employed in fault detection in the past. The basic algorithm, known as subspace identification method via principal component analysis (SIMPCA), gives consistent estimation of the deterministic...

Nondeterministic space is closed under complementation

In this paper we show that nondeterministic space s n is closed under com plementation for s n greater than or equal to log n It immediately follows that the context sensitive languages are closed under complementation thus settling a question raised by Kuroda in See Hartmanis and Hunt for a discussion of the history and importance of this problem and Hopcroft and Ullman for all relevant backgr...

Nondeterministic Space Is Closed under Complementation

Smoothing under Diffeomorphic Constraints with Homeomorphic Splines

In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in the context of image warping to compute smooth diffeomorphisms. This diffeomorphic spline is defined as the solution of an ordinary differential equation governed by an appropriate time-dependent vector field. This solut...