期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2021; 170 (2)
A new homological dimension, called rigidity dimension, is introduced to measure the quality of resolutions of finite dimensional algebras (especially......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2020; 169 (2)
This paper introduces an algebro-geometric setting for the space of bifurcation functions involved in the local Hilbert's 16th problem on a period ann......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 166 (2)
We are concerned with sets of generic points for shift-invariant measures in the countable symbolic space. We measure the sizes of the sets by the Bil......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 166 (2)
Let G be a finite group scheme over an algebraically closed field k of characteristic char(k) = p >= 3. In generalisation of the familiar notion fr......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 167 (1)
Elton P. Hsu used probabilistic method to show that the asymptotic Dirichlet problem is uniquely solvable under the curvature condition -Ce(2-eta)r(x)......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 167 (1)
Moore's conjecture is shown to hold for generalised moment-angle complexes and a criterion is proved that determines when a polyhedral product is elli......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 167 (2)
In this paper we prove a continuity result on matings of quadratic lamination maps s(p) depending on odd denominator rationals p is an element of (0, ......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2019; 167 (2)
In this paper, we consider sums of class numbers of the type Sigma(m equivalent to a (mod p)) H(4n - m(2)), where p is an odd prime, n is an element o......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018; 164 (1)
A poset model of a topological space X is a poset P such that the subspace Max(P) of the Scott space Sigma P is homeomorphic to X, where Max(P) is the......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018; 164 (1)
Let 0 <= alpha <= infinity and psi be a positive function defined on (0,infinity). In this paper, we will study the level sets L(alpha, {psi(n)}......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018; 164 (2)
We study derived invariance through syzygy complexes. In particular, we prove that syzygy-finite algebras and Igusa-Todorov algebras are invariant und......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2018; 165 (3)
We obtained a "decomposition scheme" of C*-algebras. We show that the classes of discrete C*-algebras (as defined by Peligard and Zsido), type II C*-a......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017; 162 (1)
A calibration of degree k is an element of N on a Riemannian manifold M is a closed differential k-form. such that the integral of theta over every k-......
期刊： MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017; 162 (2)
We prove that for random affine code tree fractals the affinity dimension is almost surely equal to the unique zero of the pressure function. As a con......
