1.

Record Nr.

UNISA996466613503316

Autore

Farjoun Emmanuel <1944->

Titolo

Cellular spaces, null spaces and homotopy localization / / Emmanuel Dror Farjoun

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1995]

©1995

ISBN

3-540-48449-3

Edizione

[1st ed. 1996.]

Descrizione fisica

1 online resource (XIV, 206 p.)

Collana

Lecture Notes in Mathematics ; ; 1622

Classificazione

55P60

Disciplina

512.4

Soggetti

Localization theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Coaugmented homotopy idempotent localization functors -- Augmented homotopy idempotent functors -- Commutation rules for ?, Lf and CWA, preservation of fibrations and cofibrations -- Dold-Thom symmetric products and other colimits -- General theory of fibrations, GEM error terms -- Homological localization nearly preserves fibrations -- Classification of nullity and cellular types of finite p-torsion suspension spaces -- v 1-periodic spaces and K-theory -- Cellular inequalities.

Sommario/riassunto

In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.



2.

Record Nr.

UNINA9910132785303321

Titolo

Multiscale and adaptivity : modeling, numerics and applications : C.I.M.E. Summer School, Cetraro, Italy 2009 / / Silvia Bertoluzza ... [et al.] ; editors, Giovanni Naldi, Giovanni Russo

Pubbl/distr/stampa

Berlin ; ; Heidelberg ; ; New York, : Springer Verlag, c2012

ISBN

9783642240799

3642240798

Edizione

[1st ed. 2012.]

Descrizione fisica

1 online resource (XII, 314 p. 72 illus., 24 illus. in color.)

Collana

Lecture notes in mathematics, , 0075-8434 ; ; 2040

Classificazione

MAT 428f

MAT 671f

PHY 220f

SI 850

Altri autori (Persone)

BertoluzzaSilvia

NaldiGiovanni

RussoGiovanni

Disciplina

501.5118

Soggetti

Finite element method

Mathematical physics

Multiscale modeling

Wavelets (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

AdaptiveWavelet Methods -- Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms -- Primer of Adaptive Finite Element Methods -- Mathematically Founded Design of Adaptive Finite Element Software.

Sommario/riassunto

This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly.  Even with modern



computer power, the complexity of such systems precludes their being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems.  The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.