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Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad. Exponentiable objects in this category are identified as those Kleisli monoids with algebraic structure. This…

Category Theory · Mathematics 2013-08-08 Dirk Hofmann , Frédéric Mynard , Gavin J. Seal

A class of exact membrane solutions is quantized.

High Energy Physics - Theory · Physics 2021-10-27 Jens Hoppe

This is a note in which we first review symmetries of moduli spaces of stable meromorphic connections on trivial vector bundles over the Riemann sphere, and next discuss symmetries of their integrable deformations as an application. In the…

Classical Analysis and ODEs · Mathematics 2018-03-16 Kazuki Hiroe

We describe which topological spaces can arise as the prime spectrum of a commutative monoid, in the spirit of Hochster's and Brenner's theses.

General Topology · Mathematics 2010-07-02 Richard Vale

We find locally free resolutions of length one for all semi-stable sheaves supported on curves of multiplicity five in the complex projective plane. In some cases we also find geometric descriptions of these sheaves by means of extensions.…

Algebraic Geometry · Mathematics 2013-11-14 Mario Maican

The 4-dimensional space-time is extended to pseudo-complex coordinates. Proposing the standard quantization rules in this extended space, the ones for the 4-dimensional sub-space acquire, as one solution, the commutation relations with…

General Relativity and Quantum Cosmology · Physics 2014-09-23 Peter O. Hess

These lecture notes explain the construction and basic properties of the wonderful compactification of a complex semisimple group of adjoint type. An appendix discusses the more general case of a semisimple symmetric space.

Algebraic Geometry · Mathematics 2008-01-04 Sam Evens , Benjamin F Jones

This paper gives a short introduction into the metric theory of spaces with dilations.

Metric Geometry · Mathematics 2010-07-15 Marius Buliga

This is an exposition of the theory of differentiable structures on metric measures spaces, in the sense of Cheeger and Keith.

Metric Geometry · Mathematics 2011-08-08 Bruce Kleiner , John Mackay

Here we give further evidences to support our scaling relation described in our previous paper [cond-mat/0006459, Phys. Rev. Lett. Vol.85, pp.1238 (2000)].

Soft Condensed Matter · Physics 2016-08-16 Chi-Hang Lam , Viktor K. Horváth

The paper is devoted to quantization of polynomial momentum observables in the cotangent bundle of a smooth manifold. A quantization procedure is proposed allowing to quantize a wide class of functions which are polynomials of any order in…

High Energy Physics - Theory · Physics 2009-10-31 Dmitry A. Kalinin

We discuss various square-free factorizations in monoids in the context of: atomicity, ascending chain condition for principal ideals, decomposition, and a greatest common divisor property. Moreover, we obtain a full characterization of…

Commutative Algebra · Mathematics 2019-01-01 Piotr Jędrzejewicz , Mikołaj Marciniak , Łukasz Matysiak , Janusz Zieliński

In this paper we have obtained two more characterizations of nearly pseudocompact spaces.

General Topology · Mathematics 2022-03-28 Biswajit Mitra , Sanjib Das

We present simple graph-theoretic characterizations of Cayley graphs for monoids, semigroups and groups. We extend these characterizations to commutative monoids, semilattices, and abelian groups.

Discrete Mathematics · Computer Science 2019-03-18 Didier Caucal

Series of short contributions that are part of Nobel Symposium 162 - Microfluidics arXiv:1712.08369.

Combinatorial and topological aspects of monoids with an absorbing element and their associated algebras are considered. Phd thesis.

Commutative Algebra · Mathematics 2016-03-08 Simone Boettger

The local structures of enveloping semigroups of simple groups are investigated. All J-coirreducible connected stabilizer submonoids are determined. The notion of a navel of a reductive monoid is introduced. The cross-section lattice of the…

Algebraic Geometry · Mathematics 2019-12-16 Mahir Bilen Can

We develop a theory of conically smooth stratified spaces and their smooth moduli, including a notion of classifying maps for tangential structures. We characterize continuous space-valued sheaves on these conically smooth stratified spaces…

Algebraic Topology · Mathematics 2017-02-10 David Ayala , John Francis , Hiro Lee Tanaka

A characterisation of trivial 1-cohomology for a broad class of metric spaces is presented. The condition ties cohomology and connectedness properties of open sets.

Algebraic Topology · Mathematics 2015-07-23 Andrzej Czarnecki

Special atom spaces have been around for quite awhile since the introduction of atoms by R. Coifman in his seminal paper who led to another proof that the dual of the Hardy space $H^1$ is in fact the space of functions of bounded means…

Complex Variables · Mathematics 2021-02-05 Eddy Kwessi , Geraldo de Souza