Spanier, Edwin Henry 1921
Overview
Works:  40 works in 137 publications in 7 languages and 1,397 library holdings 

Genres:  Biography 
Roles:  Author, Editor 
Classifications:  QA611, 513.83 
Publication Timeline
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Most widely held works about
Edwin Henry Spanier
 Edwin Henry Spanier (19211996) by Morris W Hirsch Morris W Hirsch( )
Most widely held works by
Edwin Henry Spanier
Algebraic topology
by
Edwin Henry Spanier(
Book
)
63 editions published between 1966 and 2007 in 5 languages and held by 1,132 WorldCat member libraries worldwide
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier
63 editions published between 1966 and 2007 in 5 languages and held by 1,132 WorldCat member libraries worldwide
Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier
Obstruction theory
by
Edwin Henry Spanier(
Book
)
11 editions published in 1966 in 3 languages and held by 118 WorldCat member libraries worldwide
11 editions published in 1966 in 3 languages and held by 118 WorldCat member libraries worldwide
Set theory and metric spaces
by
Edwin Henry Spanier(
Book
)
7 editions published between 1950 and 1955 in English and Undetermined and held by 34 WorldCat member libraries worldwide
7 editions published between 1950 and 1955 in English and Undetermined and held by 34 WorldCat member libraries worldwide
Teoria dos conjuntos e espaços métricos
by
Edwin Henry Spanier(
Book
)
6 editions published in 1961 in Portuguese and held by 20 WorldCat member libraries worldwide
6 editions published in 1961 in Portuguese and held by 20 WorldCat member libraries worldwide
Norbert Wiener, 18941964
by American Mathematical Society(
Book
)
4 editions published between 1966 and 1988 in English and held by 15 WorldCat member libraries worldwide
4 editions published between 1966 and 1988 in English and held by 15 WorldCat member libraries worldwide
International series in pure and applied mathematics
(
)
in English and held by 9 WorldCat member libraries worldwide
in English and held by 9 WorldCat member libraries worldwide
McGrawHill series in higher mathematics
(
)
in English and Undetermined and held by 7 WorldCat member libraries worldwide
in English and Undetermined and held by 7 WorldCat member libraries worldwide
Algebraicheskai︠a︡ topologii︠a︡
by
Edwin Henry Spanier(
Book
)
1 edition published in 1971 in Russian and held by 6 WorldCat member libraries worldwide
1 edition published in 1971 in Russian and held by 6 WorldCat member libraries worldwide
Algebraičeskaja topologija
by
Edwin Henry Spanier(
Book
)
2 editions published in 1971 in Russian and held by 6 WorldCat member libraries worldwide
2 editions published in 1971 in Russian and held by 6 WorldCat member libraries worldwide
Mathematics 281: algebraic topology I
by
Edwin Henry Spanier(
Book
)
2 editions published in 1955 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1955 in English and held by 6 WorldCat member libraries worldwide
Cohomology theory for general spaces
by
Edwin Henry Spanier(
Book
)
4 editions published between 1947 and 1948 in English and held by 4 WorldCat member libraries worldwide
4 editions published between 1947 and 1948 in English and held by 4 WorldCat member libraries worldwide
Finiteturn pushdown automata
by
Seymour Ginsburg(
Book
)
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
A finiteturn pda is a pda in which the length of the pushdown tape alternatively increases and decreases at most a fixed bounded number of times during any sweep of the automation. This paper is a study of these finiteturn pda and the context free languages they recognize. These context free languages are characterized both in terms of grammars (two ways) and in terms of generation from finite sets by three operations. A decision procedure is given for determining if an arbitrary pda is a finiteturn pda. There is no decision procedure for determining if an arbitrary context free language is accepted by some finiteturn pda. (Author)
2 editions published in 1965 in English and held by 3 WorldCat member libraries worldwide
A finiteturn pda is a pda in which the length of the pushdown tape alternatively increases and decreases at most a fixed bounded number of times during any sweep of the automation. This paper is a study of these finiteturn pda and the context free languages they recognize. These context free languages are characterized both in terms of grammars (two ways) and in terms of generation from finite sets by three operations. A decision procedure is given for determining if an arbitrary pda is a finiteturn pda. There is no decision procedure for determining if an arbitrary context free language is accepted by some finiteturn pda. (Author)
Algebraic topology II ; lectures by Edwin H. Spanier, notes by Edward Halpern
by
Edwin Henry Spanier(
Book
)
1 edition published in 1955 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1955 in English and held by 3 WorldCat member libraries worldwide
Outline of Mathematics 202 : foundations of analysis, fall semester 1960
by
Edwin Henry Spanier(
Book
)
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 3 WorldCat member libraries worldwide
McGrawHill Series in Higher Mathematics. E.H. Spanier, consulting editor
by
Edwin Henry Spanier(
Book
)
2 editions published in 1963 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1963 in English and held by 3 WorldCat member libraries worldwide
Linear geometry (mathematics 112)
by
Edwin Henry Spanier(
Book
)
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 2 WorldCat member libraries worldwide
Confessionale, ou Beichtspiegel nach den zehn Geboten : reproduit en facsimile d'après l'unique exemplaire conservé au Museum MeermannoWestreenianum
(
Book
)
2 editions published in 1861 in French and held by 2 WorldCat member libraries worldwide
2 editions published in 1861 in French and held by 2 WorldCat member libraries worldwide
SUBSTITUTION IN FAMILIES OF LANGUAGES
(
Book
)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
The effect of substitution in families of languages, especially AFL, is considered. Among the main results shown are the following: The substitution of one AFL into another is an AFL. Under suitable hypotheses, the AFL generated by the family obtained from the substitution of one family into another, is the family obtained from the substitution of the corresponding AFL. A condition is given for the AFL generated by the substitution closure of a family to be the substitution closure of the AFL generated by the family. (Author)
1 edition published in 1968 in English and held by 2 WorldCat member libraries worldwide
The effect of substitution in families of languages, especially AFL, is considered. Among the main results shown are the following: The substitution of one AFL into another is an AFL. Under suitable hypotheses, the AFL generated by the family obtained from the substitution of one family into another, is the family obtained from the substitution of the corresponding AFL. A condition is given for the AFL generated by the substitution closure of a family to be the substitution closure of the AFL generated by the family. (Author)
Set theory and metric facts : lecture notes, autumn 1950
by
Edwin Henry Spanier(
Book
)
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
Wiener, Norbert, 18941964
(
Book
)
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
1 edition published in 1966 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Browder, Felix E. (1927....). Author Editor
 Gerstenhaber, Murray 1927 Editor
 Ginsburg, Seymour Author
 Instituto de matemática pura e aplicada (Rio de Janeiro)
 Martin, William Ted 1911
 Weiss, Guido L. 1928
 SYSTEM DEVELOPMENT CORP SANTA MONICA CALIF
 Pranov, B. M.
 American Mathematical Society
 Halpern, Edward 1921
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Associated Subjects
Algebraic topology American Mathematical Society Block books Block books, German ConfessionCatholic Church Distance geometry Electronic data processing Generalized spaces Geometry, Plane Geometry, Projective Homology theory Homotopy theory Incunabula Machine theory Manuscripts, German Mathematicians Mathematics NetherlandsHague Obstruction theory Robots Set theory Topology United States
Alternative Names
Spanier, E. H.
Spanier, E. H. 1921
Spanier, E. H. 19211996
Spanier, E. H. (Edwin Henry), 1921
Spanier, Edwin 19211996
Spanier, Edwin H.
Spanier, Edwin H. 1921
Spanier, Edwin H. 19211996
Spanier, Edwin H. (Edwin Henry), 1921
Spanier, Edwin H. (Edwin Henry), 19211996
Spanier, Edwin Henry 1921
Spen'er, È.
Spen'er, Èdvin.
Спеньер, Э..
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