On the curvature of the space of qubits

Attila Andai

Displaying similar documents to “On the curvature of the space of qubits”

On monotone solutions of linear advanced equations.

Kvinikadze, G. (1999)

Memoirs on Differential Equations and Mathematical Physics

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On monotone and pointwise splittability

Lj. Kočinac (1991)

Matematički Vesnik

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A Cantor set in the plane that is not σ-monotone

Aleš Nekvinda, Ondřej Zindulka (2011)

Fundamenta Mathematicae

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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.

Monotone solutions of some differential equations

Marko Švec (1967)

Colloquium Mathematicae

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Completely monotone families of solutions of $n$ -th order linear differential equations and infinitely divisible distributions

Philip Hartman (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Monotone normality and extension of functions

Ian Stares (1995)

Commentationes Mathematicae Universitatis Carolinae

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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of $K_{0}$ -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.