Related papers: Towards a general theory of unprojection
We generalize the concept of disjunction.
We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.
In this paper we give a generalization of injective and projective complexes.
This paper states and proves a generalization of the well-known Desargues involution theorem from plane projective geometry.
A generalization of the law of total covariance is presented and proved.
In this paper we prove two general results related to Marstrand's projection theorem in a quite general formulation over separable metric spaces under a suitable transversality hypothesis (the "projections" are in principle only measurable)…
We present a necessary and sufficient condition for the topological equivalence of a continuous function on a plane to a projection onto one of coordinates.
Given an automorphism and an anti-automorphism of a semigroup of a Geometric Algebra, then for each element of the semigroup a (generalized) projection operator exists that is defined on the entire Geometric Algebra. A single fundamental…
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
The notion of random self-decomposability is generalized further. The notion is then extended to non-negative integer-valued distributions.
We survey various attempts to transport the ultraproduct construction from the realm of model theory to that of general topology.
This paper is devoted to the proof Gauss' divergence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently [2] and developed in [4], [5] and [6]. Their peculiarity is…
It is known that Plotkin's reduction theorem is very important for his theory of universal algebraic geometry [arXiv:math. GM/0210187], [arXiv:math. GM/0210194]. It turns out that this theorem can be generalized to arbitrary categories…
We discuss historical attempts to formulate a physical hypothesis from which Turing's thesis may be derived, and also discuss some related attempts to establish the computability of mathematical models in physics. We show that these…
Using techniques of projective geometry, we give elementary proofs of two theorems concerning Hagge configurations.
Generalized planning is concerned with the characterization and computation of plans that solve many instances at once. In the standard formulation, a generalized plan is a mapping from feature or observation histories into actions,…
The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].
The aim of the paper is to start to develop the most general theory of localizations/inversion. Several new concepts are introduced and studied.
We generalize the dual notions of "expansion" and "collapse" so they can be applied to arbitrary metric spaces. We also expand the theory to allow for infinitely many such moves. Those tools are then employed to prove a variety of…
In this paper, we prove and disprove several generalizations of unbounded versions of the Fuglede-Putnam theorem.