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Time derivatives of observables and applications

Creator:

Banks, Bernard W.

Resource Type:

Dissertation
An extension of Hilbert's axioms of incidence and order to n dimensions

Creator:

Murray, Peter John

Abstract:

This paper presents an extension of Hubert's incidence axioms to n dimensions and uses these and his order axioms to prove several theorems. We prove extensions of Pasch's Axiom, the Crossbar Theorem, and Desargues' Theorem for n dimensions. A non-Euclidean model is presented and proved to satisfy the axioms. In...

Resource Type:

Dissertation

Full Text:

N DIMENSIONS I. INTRODUCTION In 1898, David Hilbert published a set of axioms for plane and 3
An intrinsic codimension two cellular decomposition of the Hilbert cube

Creator:

Ghimire, Kailash C.

Abstract:

Cellular sets in the Hilbert cube are the intersection of nested sequences of normal cubes. One way of getting cellular maps on the Hilbert cube is by decomposing the Hilbert cube into cellular sets and using a quotient map. By using a cellular decomposition of the Hilbert cube, an example...

Resource Type:

Dissertation

Full Text:

characterization of Hilbert cube manifolds, it is shown that the decomposi- tion space is not the Hilbert cube
A thin codimension-one decomposition of the Hilbert Cube

Creator:

Phon-On, Aniruth

Abstract:

For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...

Resource Type:

Dissertation

Full Text:

Hilbert Cube Q which yield a quotient space X that is not homeo- morphic to Q and that has the property