Related papers: A relative Toponogov comparison theorem
We present a proof of the Chevalley-Weil Theorem that is somewhat different from the proofs appearing in the literature and with somewhat weaker hypotheses, of purely topological type. We also provide a discussion of the assumptions, and an…
We give two definitions of relative symplectic Steinberg group and show that they coincide.
A simple proof of Egorov's theorem for infinite measure is given
In this paper, we propose a generalization of a congruence due to Carlitz.
We develop a new framework of relative algebroids to address existence and classification problems of geometric structures subject to partial differential equations.
We introduce the concept of protometric and present some properties of protometrics.
We provide a simple proof of Kamp's theorem.
We give a simple proof of an explicit formula for Kerov polynomials. This formula is closely related to a formula of Goulden and Rattan.
Results concerning the Casimir effect in a topologically closed Minkowski spacetime.
Proposed the computerized method for calculating the relative level of order composites. Correlation between a level of structure order and properties of solids is shown. Discussed the possibility of clarifying the terminology used in…
In this article we show that some recent results on the existence of best proximity points can be obtained from the same result in fixed point theory.
We formulate a relative, representation theoretic, notion of the algebraic cone construction. This motivates a generalization of the cone corresponding to a preprojective algebra.
We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.
We study a weighted version of Carleman's inequality via Carleman's original approach. As an application of our result, we prove a conjecture of Bennett.
We show the pointwise version of the Ste\v{c}kin theorem on approximation by de la Vall\'ee-Poussin means. The result on norm approximation is also derived.
This is a survey of Rational Homotopy Theory, intended for a Mathematical Physics readership.
We define a relative version of tiling cohomology for the purpose of comparing the topology of tiling spaces when one is a factor of the other. We illustrate this with examples, and outline a method for computing the cohomology of tiling…
We present a creative reimagining of Zolotarev's classical proof of the Law of Quadratic Reciprocity.
We introduce new foundations for relative topos theory based on stacks. One of the central results in our theory is an adjunction between the category of toposes over the topos of sheaves on a given site $({\mathcal{C}}, J)$ and that of…
Proofs of Tychonoff's theorem often seem to require a bit of magic. Machinery such as ultrafilters, nets or maximal families with the finite intersection property are employed to give proofs that can be very neat, but not the kind of thing…