WorldCat Identities

Bing, R. H.

Overview
Works: 41 works in 116 publications in 2 languages and 1,484 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Contributor
Classifications: QA611, 513.83
Publication Timeline
.
Most widely held works about R. H Bing
 
moreShow More Titles
fewerShow Fewer Titles
Most widely held works by R. H Bing
Topology Seminar, Wisconsin, 1965 by R. H Bing( Book )

29 editions published in 1966 in 3 languages and held by 484 WorldCat member libraries worldwide

The geometric topology of 3-manifolds by R. H Bing( Book )

15 editions published between 1970 and 2001 in English and held by 426 WorldCat member libraries worldwide

This is a summary of four Colloquium Lectures given at the meeting of the American Mathematical Society in Laramie in 1970. The first section discusses the recent solution of the monotone mapping theorem. The second discusses difficulty and headway in extending results about 3-manifolds to those of higher dimensions. The last two sections discuss approximation theorems and their applications. (Author)
Continua, decompositions, manifolds : proceedings of Texas Topology Symposium, 1980 by Texas Toplogy Symposium( Book )

8 editions published in 1983 in English and held by 209 WorldCat member libraries worldwide

Elementary point set topology by R. H Bing( Book )

5 editions published in 1960 in English and held by 60 WorldCat member libraries worldwide

Computing the fundamental group of the complements of curves by R. H Bing( Book )

2 editions published in 1965 in English and held by 21 WorldCat member libraries worldwide

The collected papers of R.H. Bing by R. H Bing( Book )

6 editions published in 1988 in English and held by 20 WorldCat member libraries worldwide

The Collected papers by R. H Bing( Book )

6 editions published in 1988 in English and Undetermined and held by 15 WorldCat member libraries worldwide

The Collected papers by R. H Bing( Book )

3 editions published in 1988 in English and Undetermined and held by 9 WorldCat member libraries worldwide

Proceedings by Topology Seminar( Book )

1 edition published in 1966 in English and held by 4 WorldCat member libraries worldwide

Wild surfaces have some nice properties by R. H Bing( Book )

1 edition published in 1985 in English and held by 3 WorldCat member libraries worldwide

Extending Monotone Decompositions of 3-Manifolds by R. H Bing( Book )

2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide

It is shown that if Y is a closed subset of Euclidean 3-space E sup 3 such that each component of Y is compact but does not separate E sup 3, then there is a compact monotone map of E sup 3 onto itself such that the components of Y are point inverses and the nondegenerate point inverses not in Y are polyhedral 1-complexes. (Author)
Cubes with Knotted Holes by R. H Bing( Book )

2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide

The 3-dimensional Poincare conjecture is that a compact, connected, simply connected 3-manifold without boundary is topologically a 3-sphere S sup 3. Despite efforts to prove the conjecture, it has withstood attack. It is known that every orientable 3-manifold may be obtained by removing a collection of disjoint solid tori from S sup 3 and sewing them back differently. In this paper the author examine some of the possibilities for constructing a counterexample to the Poincare conjecture by removing a single solid torus from S sup 3 and sewing it back differently. Actually, they examine not only this process but one analogous to it which they call 'attaching a pillbox to a cube with a knotted hole.' (Author)
The collected papers of R. H. Bing by R. H Bing( Book )

1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide

The monotone mapping problem by R. H Bing( Book )

2 editions published in 1971 in English and held by 2 WorldCat member libraries worldwide

It is shown that for m = 3,4 ... there is a monotone map of Euclidean n space E sup n onto itself that is not compact. This completes the monotone mapping theorem posed by G.T. Whyburn. A key lemma in the treatment shows that there is a monotone map of a cube I sup 2 onto itself such that each point inverse intersects a base I sup 2 of I sup 3. If f is a map of I sup 3 onto I sup 3 which is a homeomorphism on Int I sup 3 and takes I sup 2 homeomorphically into I sup 2, one calls f (Int I sup 2 joined to Int I sup 3) a drainage system for I sup 3. It is shown that there is a drainage system f (Int I sup 2 joined to Int I sup 3) for I sup 3 and a monotone map g of I sup 3 - f (Int I sup 2 joined to Int I sup 3) onto I sup 3 such that g is the identity on Bd I sup 3 - Int I sup 2. (Author)
Coverings with connected intersections by R. H Bing( Book )

1 edition published in 1950 in English and held by 1 WorldCat member library worldwide

The mathematics that junior-high-school pupils use by R. H Bing( )

1 edition published in 1938 in English and held by 1 WorldCat member library worldwide

Monotone Image of E Superscript 3( Book )

1 edition published in 1971 in English and held by 1 WorldCat member library worldwide

Using the fact that there is a monotone map of a cube onto itself such that each point inverse intersects the boundary, it is shown that there is a compact monotone map of Euclidean 3-space E sup 3 onto any compact connected 3-manifold whatsoever. Alternative methods are given for describing these maps. (Author)
 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.60 (from 0.31 for R. H. Bing ... to 1.00 for Monotone I ...)

Alternative Names
R.H. Bing Amerikaans wiskundige

R. H. Bing amerikansk matematikar

R. H. Bing amerikansk matematiker

R. H. Bing mathématicien américain

R. H. Bing US-amerikanischer Mathematiker

RH Bing

아르에이치 빙

アーエイチ・ビング

Languages