From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7999 Path: news.gmane.org!not-for-mail From: claudio pisani Newsgroups: gmane.science.mathematics.categories Subject: preprint available Date: Wed, 5 Feb 2014 16:05:36 +0000 (GMT) Message-ID: Reply-To: claudio pisani NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: ger.gmane.org 1391770642 20351 80.91.229.3 (7 Feb 2014 10:57:22 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 7 Feb 2014 10:57:22 +0000 (UTC) To: "categories@mta.ca" Original-X-From: majordomo@mlist.mta.ca Fri Feb 07 11:57:30 2014 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.186]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1WBj7i-0003xU-9c for gsmc-categories@m.gmane.org; Fri, 07 Feb 2014 11:57:30 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:39147) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1WBj6N-0007bN-Sq; Fri, 07 Feb 2014 06:56:07 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1WBj6K-0007V0-Sm for categories-list@mlist.mta.ca; Fri, 07 Feb 2014 06:56:04 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7999 Archived-At: Dear categorists,=0A=0Athe following preprint is now available=A0at=A0http:= //arxiv.org/abs/1402.0253=A0:=0A=0A"Sequential multicategories"=0A=0AAbstra= ct:=0A"We study the monoidal closed category of symmetric multicategories,= =0Aespecially in relation with its cartesian structure and with sequential = multicategories=0A(whose arrows are sequences of concurrent arrows in a giv= en category).=0AThen we consider cartesian multicategories in a similar per= spective and develop=A0=0Asome peculiar items such as algebraic products.= =A0=0ASeveral classical facts arise as a consequence of this analysis when = some of=0Athe multicategories involved are representable."=0A=0AAmong the t= opics discussed there are:=0A1) Promonoidal categories as exponentiable mul= ticategories and particular instances of powers of multicategories.=0A2) Ch= aracterization of the sequential multicategories as those of commutative mo= noids in a symmetric multicategory and the sequential (co)reflection.=0A3) = Characterization of the preadditive ( =3D cMon-enriched ) categories as tho= se of commutative monoids in a cartesian multicategory and the preadditive = coreflection.=0A4) Algebraic products in cartesian multicategories, general= izing algebraic biproducts in preadditive categories.=0A=0AComments are wel= come (for instance, maybe there are=A0related works=A0which I am not aware = of).=0A=0ABest regards=0A=0AClaudio=A0=A0=A0=A0=A0=A0=A0 [For admin and other information see: http://www.mta.ca/~cat-dist/ ]