Rudyak, Yuli B. 1948
Overview
Works:  19 works in 53 publications in 3 languages and 407 library holdings 

Roles:  Author 
Classifications:  QA612, 514.2 
Publication Timeline
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Most widely held works by
Yuli B Rudyak
On Thom spectra, orientability, and cobordism by
Yuli B Rudyak(
Book
)
23 editions published between 1997 and 2011 in English and German and held by 232 WorldCat member libraries worldwide
For many years, algebraic topology rested on three legs: "ordinary" cohomology, Ktheory, and cobordism. This book is a guide to the subject of cobordism. It concentrates on thom spaces (spectra), orientability theory and (co)bordism the ory (including (co)bordsim with singularities and, in particular, Morava Ktheories), framed by (co)homology theories and spectra. The author has also provided a history of this mathematical science
23 editions published between 1997 and 2011 in English and German and held by 232 WorldCat member libraries worldwide
For many years, algebraic topology rested on three legs: "ordinary" cohomology, Ktheory, and cobordism. This book is a guide to the subject of cobordism. It concentrates on thom spaces (spectra), orientability theory and (co)bordism the ory (including (co)bordsim with singularities and, in particular, Morava Ktheories), framed by (co)homology theories and spectra. The author has also provided a history of this mathematical science
Piecewise linear structures on topological manifolds by
Yuli B Rudyak(
Book
)
8 editions published between 2001 and 2016 in English and held by 44 WorldCat member libraries worldwide
"The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of highdimensional topological manifolds. Their study culminated in the late 1960searly 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture. The goal of this book is to provide a readable and wellorganized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking."
8 editions published between 2001 and 2016 in English and held by 44 WorldCat member libraries worldwide
"The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of highdimensional topological manifolds. Their study culminated in the late 1960searly 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture. The goal of this book is to provide a readable and wellorganized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking."
Introduction to compact transformation groups by
Glen E Bredon(
Book
)
3 editions published in 1980 in Russian and held by 4 WorldCat member libraries worldwide
Introduction to compact transformation groups
3 editions published in 1980 in Russian and held by 4 WorldCat member libraries worldwide
Introduction to compact transformation groups
Some remarks on PL corbordism with singularities by
Yuli B Rudyak(
Book
)
1 edition published in 1990 in German and held by 4 WorldCat member libraries worldwide
1 edition published in 1990 in German and held by 4 WorldCat member libraries worldwide
Infinite loop spaces by
J. Frank Adams(
Book
)
2 editions published in 1982 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1982 in Russian and held by 3 WorldCat member libraries worldwide
Lectures on algebraic topology by
A Dold(
Book
)
3 editions published in 1976 in Russian and held by 3 WorldCat member libraries worldwide
This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examples, and some applica tions of (co )homology to homotopy. Nor does it deal with general( ised) homology, but many formulations and arguments on singular homology are so chosen that they also apply to general homology. Because of these absences I have also omitted spectral sequences, their main applications in topology being to homotopy and general (co )homology theory. Cech cohomology is treated in a simple ad hoc fashion for locally compact subsets of manifolds; a short systematic treatment for arbitrary spaces, emphasizing the universal property of the Cechprocedure, is contained in an appendix. The book grew out of a oneyear's course on algebraic topology, and it can serve as a text for such a course. For a shorter basic course, say of half a year, one might use chapters II, III, IV ({sect}{sect} 14), V ({sect}{sect} 15, 7, 8), VI ({sect}{sect} 3, 7, 9, 11, 12). As prerequisites the student should know the elementary parts of general topology, abelian group theory, and the language of categories  although our chapter I provides a little help with the latter two. For pedagogical reasons, I have treated integral homology only up to chapter VI; if a reader or teacher prefers to have general coefficients from the beginning he needs to make only minor adaptions
3 editions published in 1976 in Russian and held by 3 WorldCat member libraries worldwide
This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds. It does not treat homotopy theory except for some basic notions, some examples, and some applica tions of (co )homology to homotopy. Nor does it deal with general( ised) homology, but many formulations and arguments on singular homology are so chosen that they also apply to general homology. Because of these absences I have also omitted spectral sequences, their main applications in topology being to homotopy and general (co )homology theory. Cech cohomology is treated in a simple ad hoc fashion for locally compact subsets of manifolds; a short systematic treatment for arbitrary spaces, emphasizing the universal property of the Cechprocedure, is contained in an appendix. The book grew out of a oneyear's course on algebraic topology, and it can serve as a text for such a course. For a shorter basic course, say of half a year, one might use chapters II, III, IV ({sect}{sect} 14), V ({sect}{sect} 15, 7, 8), VI ({sect}{sect} 3, 7, 9, 11, 12). As prerequisites the student should know the elementary parts of general topology, abelian group theory, and the language of categories  although our chapter I provides a little help with the latter two. For pedagogical reasons, I have treated integral homology only up to chapter VI; if a reader or teacher prefers to have general coefficients from the beginning he needs to make only minor adaptions
On Thom spaces, Massey products and nonformal sympletic manifolds by
Yuli B Rudyak(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Arbeitstagung 1999 : on category weight and the Arnold conjecture by
Mathematische Arbeitstagung(
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Minimal atlases of closed symplectic manifolds by
Yuli B Rudyak(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
LusternikSchnirelmann theory on general spaces(
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Algebraic topology  old and new : M. M. Postnikov memorial conference, Bȩdlewo, Poland, June 1824, 2007 by
Marek Golasiński(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Piecewise linear structures on topological manifolds(
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
Higher topological complexity and homotopy dimension of configuration spaces on spheres(
)
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
On symplectic manifolds with aspherical symplectic form(
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Minimal atlases of closed symplectic manifolds(
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
LusternikSchnirelmann theory on general spaces by
Yuli B Rudyak(
Book
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
On symplectic manifolds with aspherical symplectic form by
Yuli B Rudyak(
Book
)
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1999 in English and held by 0 WorldCat member libraries worldwide
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