In common usage, a collection is any group of items that has one or more properties in common, usually brought together for some specific purpose. See Collecting and Collectibles.
The term can also be used more specifically:

(Australia) Institute for Geometry and its Applications, Adelaide - Preprint archive with postscript downloads from 1996 - present.
(Austria) ESI - Erwin Schrodinger Institute, Vienna, Austria.
(Belgium) Katholieke Universiteit Leuven - Numerical Analysis, Applied Mathematics and Computer Science Publications.
(Belgium) Limburgs Universitair Centrum - Algebra group preprint archive.
(Belgium) University of Louvain - Searchable preprint archive.
(Canada) CECM - Centre for Experimental and Constructive Mathematics preprint service.
(Canada) CRM Montreal - Technical reports of the Centre de Recherches Mathématiques, Montreal, Canada.
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(Czech Republic) KAM/DIMATIA - Prepublication medium for Department of Applied Mathematics (KAM), Charles University, Prague. (400 items)
(Czech Republic) KMA - Department of Mathematical Analysis, Charles University.
(Denmark) IMADA Odense - Department of Mathematics and Computer Science, University of Southern Denmark/Odense University.
(Denmark) MaPhySto, Aarhus - Center for Mathematical Physics and Stochastics.
Meta Description: [ MaPhySto - Centre for Mathematical Physics and Stochastics, University of Aarhus ]
(Denmark) University of Aarhus - Department of Mathematical Sciences. Preprints, working papers, lecture notes, memoirs and theses.
Meta Description: [ List of research publications / Department of Mathematical Sciences, Faculty of Science, Aarhus Universitet ]
(France) CAMS - Centre d'Analyse et de Mathématique Sociales, EHESS, Paris, France.
(France) IHES - L'Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France.
(France) INRIA - National institute for research in computer science and control. Research reports, technical reports, theses.
(France) Institut Elie Cartan, Nancy - Preprints. Abstracts; papers in PS format.
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(France) IRMA Strasbourg - Institut de Recherche Mathématique Avancée, University of Strasbourg.
(Germany) Albert-Ludwigs-Universität Freiburg - Mathematics Faculty preprints from 1995.
(Germany) FU Berlin - Math Department, Free University of Berlin, Germany.
(Germany) Humboldt Universität, Berlin - Mathematics Institutes, Humboldt University, Berlin, Germany.
(Germany) KANT Group - Technical University of Berlin.
(Germany) Kiel University - Mathematics Seminar Reports.
(Germany) Konrad-Zuse Center for Scientific Computation, Berlin - Preprints and technical reports from 1986, indexed by year.
(Germany) Magdeburg University - Faculty of Mathematics preprints and technical reports by year from 1994, searchable.
(Germany) MPIM Bonn - Max Planck Institute for Mathematics.
(Germany) Muenster - SFB 478: Geometrische Strukturen in der Mathematik. German/English.
(Germany) TU Berlin - Sfb 288: Differential Geometry and Quantum Physics.
(Germany) TU Darmstadt - Department of Mathematics, Darmstadt University of Technology.
(Germany) Universität Halle-Wittenberg - Department of Mathematics and Computer Science, Martin-Luther-Universität Halle-Wittenberg.
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(Germany) Universität Osnabrück - Department of Mathematics and Computer Science.
(Germany) University of Bielefeld - Diskrete Strukturen in der Mathematik preprints from 1989. Compressed PostScript.
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(Germany) University of Hannover - Mathematics Institute.
(Germany) University of Rostock - Preprints from 1993 to the present.
Meta Description: [ Preprint series of the Institute for Mathematics ]
(Germany) University of Ulm - Faculty of Mathematics and Economics, Department of Stochastics. Publications from 1995.
(Hungary) Alfréd Rényi Institute, Budapest - Preprints by author.
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(India) Tata Institute of Fundamental Research - School of Maths preprint server. Indexed by author: DVI/PS.
(Italy) ICTP - Preprints issued at the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. Searchable.
Meta Description: [ Homepage of the Publications and Printing Services Section ]
(Italy) INFN Rome - Mathematical Physics, Roma La Sapienza, Rome.
500
(Italy) Pisa - Calculus of variations and geometric measure theory papers from 1995.
(Japan) Kyoto University Department of Mathematics - Searchable preprint collection from 1993.
(Netherlands) CWI Amsterdam - Research reports, journals, monographs and proceedings.
(Netherlands) CWI Amsterdam - Technical Reports available by FTP in compressed PostScript, listed by subject and date.
(Netherlands) Universiteit van Amsterdam - Korteweg-de Vries Institute Mathematical Preprint Series. ArXiv overlay.
Meta Description: [ The Korteweg-de Vries Institute preprint series is mostly an overlay for the Mathematics arXiv. ]
(Norway) NTNU Trondheim - Preprint Series, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim.
(Russia) St. Petersburg Mathematical Society - Preprint collection open to members of the Society. TeX and/or PostScript format.
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(Spain) CRM Barcelona - Publications of the Centre de Recerca Matemàtica, Barcelona.
(Turkey) Middle East Technical University - Department of Mathematics preprint archive.
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(UK) BRIMS - Archive of Technical Reports of the Basic Research Institute in the Mathematical Sciences, Bristol; closed 2001.
(UK) Isaac Newton Institute, Cambridge - Books arising from Institute Programmes.
Meta Description: [ Isaac Newton Institute for Mathematical Sciences ]
(UK) Isaac Newton Institute, Cambridge - Mathematical Sciences preprints.
Meta Description: [ Isaac Newton Institute for Mathematical Sciences ]
500
(UK) South Bank University - Computing, Information Systems and Mathematics Technical Reports from 1993.
(UK) University of Bath - Mathematics Group preprints by year from 1993.
(UK) University of Bristol - Applied Nonlinear Mathematics, Faculty of Engineering.
Meta Description: [ Publications, preprints and reports at the Bristol Centre for Applied Nonlinear Mathematics ]
(UK) University of Cambridge - Statistical Laboratory Research Reports.
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(UK) University of Cambridge - Department of Applied Mathematics and Theoretical Physics searchable preprint database.
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(UK) University of Durham - Geometry and arithmetic preprints.
(UK) University of Glasgow - Preprint archive from 1995.
(UK) University of Leicester - Mathematics and computer science technical reports from 1995.
Meta Description: [ Technical Reports List ]
(UK) University of Oxford - Mathematical Institute. Searchable index.
(UK) University of Southampton - Pure Mathematics Group Preprints from 1995.
Meta Description: [ Pure Mathematics Home Page ]
(USA) American Institute of Mathematics - Mainly in number theory. From 1998, PS and PDF.
(USA) Argonne National Laboratory, Math and Computer Science Division - Technical report anonymous ftp area. Most documents are available in compressed dvi or compressed postscript.
Meta Description: [ Here we maintain a link to MCS's technical report anonymous ftp area.
Most documents are available in compressed dvi or compressed postscript form. You can download the one of your
choice by clicking on the appropriate file name in the table of contents. For hard copies of these reports, con... ]
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(USA) Brown University - Lefschetz Center for Dynamical Systems, preprint archive.
(USA) CNA - Center for Nonlinear Analysis, Carnegie-Mellon University, Pittsburgh, PA.
(USA) DIMACS - Center for Discrete Mathematics and Theoretical Computer Science, Rutgers, New Jersey.
(USA) Duke University - Mathematics Department, Duke University, Durham, NC.
(USA) Florida State University - Math Department, Florida State University, Tallahassee, FL.
(USA) GANG Document Library - Center for Geometry, Analysis, Numerics and Graphics. Organised by date, author.
(USA) Geometry Center, UIUC - Research papers, conference proceedings, expository and educational articles.
(USA) George Washington University - Math Department, George Washington University, Washington, DC. 1999 onwards, mainly PDF.
(USA) IMA - Institute for Mathematics and its Applications, Minneapolis, MN.
(USA) IMI South Carolina - Industrial Mathematics Institute, University of South Carolina, Columbia, SC.
(USA) IMS Stony Brook - Institute for Mathematical Sciences Preprint Server, SUNY Stony Brook, NY. ArXiv mirrored.
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(USA) Institute for Scientific Computation, Texas - Technical Report Series from 1994.
Meta Description: [ This page contains a full listing of the online ISC Technical Reports Series. ]
(USA) Louisiana State University - Math Department, Baton Rouge, LA.
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(USA) MSRI - Mathematical Sciences Research Institute, Berkeley, CA.
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(USA) Northwestern University - Mathematics Department, Evanston, IL.
(USA) Oklahoma State University - Math Department, Stillwater, OK; ArXiv overlay.
(USA) RUTCOR - Research Reports from 1993 in PS or PDF.
(USA) Temple University - Department of Mathematics Research Reports from 1991.
(USA) UC Davis - Math Department, University of California, Davis, CA; ArXiv overlay.
(USA) UC Santa Barbara - Math Department, University of California, Santa Barbara, CA.
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(USA) UCLA - Math Department, University of California, Los Angeles, CA.
Meta Description: [ Browse through a showcase of faculty research and technical reports... ]
(USA) UIUC - Department of Mathematics, University of Illinois, Urbana-Champaign, IL. Faculty publications in HTML/PDF.
(USA) University of Kentucky - Department of Mathematics, Lexington, KY.
Meta Description: [ mathematics preprints ]
(USA) UT Austin - Math Department, University of Texas, Austin, TX.
(Vietnam) Hanoi Institute of Mathematics - E-preprints archive for year 1998. Abstracts, text in PostScript.
D-MathNet.Preprints - Searchable index to mathematics preprints in Germany.
German Mathematics Departments Serving Preprints - A sensitive map.
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glia - School of Mathematics publication search.
Joint Austrian/Bavarian Publications Broker - Searchable collections in mathematics and statistics.
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