Results 51 to 60 of about 39,607 (176)
Dimensional preimage entropies
, 2021 Let $X$ be a compact complex manifold of dimension $k$ and $f:X \longrightarrow X$ be a dominating meromorphic map. We generalize the notion of topological entropy, by defining a quantity $h_{(m,l)}^{top}(f)$ which measures the action of $f$ on local analytic sets $W$ of dimension $l$ with $W \subset f^{-n}( )$ where $ $ is a local analytic set of ...
openaire +2 more sources
On virtual chirality of 3‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We prove that if a prime 3‐manifold M$M$ is not finitely covered by the 3‐sphere or a product manifold, then M$M$ is virtually chiral, that is, it has a finite cover that does not admit an orientation‐reversing self‐homeomorphism. In general, if a 3‐manifold contains a virtually chiral prime summand, then it is virtually chiral.
Hongbin Sun, Zhongzi Wang
wiley +1 more source
Compact measures have Loeb preimages [PDF]
Proceedings of the American Mathematical Society, 1992 A compact measure is a (possibly nontopological) measure that is inner-regular with respect to a compact family of measurable sets. The main result of this paper is that every compact probability measure is the image, under a measure-preserving transformation, of a Loeb probability space.
openaire +1 more source
Certifying Anosov representations
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract By providing new finite criteria which certify that a finitely generated subgroup of SL(d,R)$\operatorname{SL}(d,\operatorname{\mathbb {R}})$ or SL(d,C)$\operatorname{SL}(d,\mathbb {C})$ is projective Anosov, we obtain a practical algorithm to verify the Anosov condition.
J. Maxwell Riestenberg
wiley +1 more source
Homology fibrations and "group-completion" revisited
, 2003 We give a proof of the Jardine-Tillmann generalized group completion theorem. It is much in the spirit of the original homology fibration approach by McDuff and Segal, but follows a modern treatment of homotopy colimits, using as little simplicial ...
Pitsch, Wolfgang, Scherer, Jerome
core +1 more source
Preimages of Baire spaces [PDF]
Mathematica Bohemica, 1994 The question considered in this paper is: When must the domain of a function that maps onto a Baire space be a Baire space? Some positive results are given using the concept of a nowhere-dense-set preserving (nd-preserving) function. For example, if there is a feebly open nd- preserving function mapping \(X\) onto a Baire space, then \(X\) is a Baire ...
Doboš, Jozef +2 more
openaire +2 more sources
A genuine G$G$‐spectrum for the cut‐and‐paste K$K$‐theory of G$G$‐manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Recent work has applied scissors congruence K$K$‐theory to study classical cut‐and‐paste (SK$SK$) invariants of manifolds. This paper proves the conjecture that the squares K$K$‐theory of equivariant SK$SK$‐manifolds arises as the fixed points of a genuine G$G$‐spectrum.
Maxine E. Calle, David Chan
wiley +1 more source
Hash function requirements for Schnorr signatures
Journal of Mathematical Cryptology, 2009 We provide two necessary conditions on hash functions for the Schnorr signature scheme to be secure, assuming compact group representations such as those which occur in elliptic curve groups. We also show, via an argument in the generic group model, that
Neven Gregory +2 more
doaj +1 more source
A preimage attack on reduced GIMLI‐HASH with unbalanced squeezing phase
IET Information Security, 2023 In Conference on Cryptographic Hardware and Embedded System 2017, Bernstein et al. proposed GIMLI, a 384‐bit permutation with 24 rounds, which aims to provide high performance on various platforms.
Yongseong Lee +3 more
doaj +1 more source
Connectivity properties of moment maps on based loop groups
, 2009 For a compact, connected, simply-connected Lie group G, the loop group LG is the infinite-dimensional Hilbert Lie group consisting of H^1-Sobolev maps S^1-->G. The geometry of LG and its homogeneous spaces is related to representation theory and has been
Atiyah +23 more
core +1 more source