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fully chiral, invertible,
positively amphicheiral noninvertible,
negatively amphicheiral noninvertible, and
fully amphicheiral invertible. The possible...
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quantum field theories (TQFTs), such as 4-dimensional
noninvertible, 5-dimensional
noninvertible, or 5-dimensional
invertible entangled gapped phase TQFTs...
- on
isotopy classes of (****riented) knots. To see this,
consider two
noninvertible knots K, L
which are not
equivalent (as
unoriented knots); for example...
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fully chiral, reversible,
positively amphichiral noninvertible,
negatively amphichiral noninvertible, and
fully amphichiral invertible. It has long been...
- the
coauthor of
books including:
Chaotic Dynamics in Two-Dimensional
Noninvertible Maps (with
Christian Mira,
Alexandra Barugola, and Jean-Claude Cathala...
-
constant term can be
divided indefinitely by
noninvertible elements of R,
which are
still noninvertible in S, and the
ideal generated by all
these quotients...
- gave a
study of the
perturbation theory of
nonlinear perturbations of
noninvertible transformations between Hilbert spaces;
applications include existence...
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probability space, that T : X → X {\displaystyle T:X\to X} is a (possibly
noninvertible) measure-preserving transformation, and that f ∈ L 1 ( μ , R ) {\displaystyle...