# R. H. Bing

#38,024

Most Influential Person Across History

American mathematician

## R. H. Bing's AcademicInfluence.com Rankings

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Mathematics

## R. H. Bing's Degrees

- PhD Mathematics University of Texas at Austin

## Why Is R. H. Bing Influential?

(Suggest an Edit or Addition)According to Wikipedia, R. H. Bing was an American mathematician who worked mainly in the areas of geometric topology and continuum theory. His father was named Rupert Henry, but Bing's mother thought that "Rupert Henry" was too British for Texas. She compromised by abbreviating it to R. H. Consequently, R. H. does not stand for a first or middle name.

## R. H. Bing's Published Works

### Published Works

- Metrization of Topological Spaces (1951) (273)
- Concerning hereditarily indecomposable continua. (1951) (207)
- Snake-like continua (1951) (186)
- A homogeneous indecomposable plane continuum (1948) (184)
- A Homeomorphism Between the 3-Sphere and the Sum of Two Solid Horned Spheres (1952) (180)
- The Geometric Topology of 3-Manifolds (1983) (151)
- An Alternative Proof that 3-Manifolds Can be Triangulated (1959) (145)
- Locally Tame Sets are Tame (1954) (128)
- Approximating Surfaces With Polyhedral Ones (1957) (108)
- Partitioning a set (1949) (100)
- Higher-dimensional hereditarily indecomposable continua (1951) (95)
- The Elusive Fixed Point Property (1969) (94)
- A Simple Closed Curve is the Only Homogeneous Bounded Plane Continuum that Contains an Arc (1960) (91)
- A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines (1968) (91)
- A surface is tame if its complement is 1-ULC (1961) (89)
- The Cartesian Product of a Certain Nonmanifold and a Line is E 4 (1959) (82)
- Cubes with knotted holes (1971) (79)
- Another homogeneous plane continuum (1959) (79)
- A Decomposition of E 3 into Points and Tame Arcs Such That the Decomposition Space is Topologically Different from E 3 (1957) (72)
- Tame Cantor sets in $E^{3}$. (1961) (64)
- Necessary and Sufficient Conditions that a 3-Manifold Be S 3 (1958) (57)
- Upper Semicontinuous Decompositions of E 3 (1957) (55)
- Partitioning continuous curves (1952) (51)
- Embedding Circle-Like Continua in the Plane (1962) (49)
- Extending a metric (1947) (47)
- The cartesian product of a certain nonmanifold and a line is $E^4$ (1958) (42)
- A connected countable Hausdorff space (1953) (39)
- Some Remarks Concerning Topologically Homogeneous Spaces (1965) (36)
- Each homogeneous nondegenerate chainable continuum is a pseudo-arc. (1959) (35)
- Each Disk in E 3 Contains a Tame Arc (1962) (35)
- Pushing a 2-sphere into its complement. (1964) (33)
- Taming complexes in hyperplanes (1964) (33)
- The Kline sphere characterization problem (1946) (33)
- A wild surface each of whose arcs is tame (1961) (32)
- Conditions under which a surface in $E^3$ is tame (1959) (32)
- Inequivalent Families of Periodic Homeomorphisms of E 3 (1964) (31)
- Some Characterizations of Arcs and Simple Closed Curves (1948) (31)
- A convex metric for a locally connected continuum (1949) (28)
- Point-like decompositions of $E^3$ (1962) (27)
- APPROXIMATING SURFACES FROM THE SIDE (1963) (24)
- Sets generated by rectangles. (1974) (23)
- A translation of the normal Moore space conjecture (1965) (22)
- A characterization of 3-space by partitionings (1951) (22)
- A convex metric with unique segments (1953) (20)
- Retractions Onto Spheres (1964) (16)
- Improving the side approximation theorem (1965) (16)
- Linear Isotopies in E 2 (1978) (14)
- Linear isotopies in (1977) (14)
- Complementary domains of continuous curves (1949) (13)
- A set is a 3 cell if its cartesian product with an arc is a 4 cell (1961) (12)
- A hereditarily infinite dimensional space (1967) (11)
- Each Disk in E 3 is Pierced by a Tame Arc (1962) (10)
- Shrinking without lengthening (1988) (9)
- Spheres in E 3 (1964) (9)
- Generalizations of two theorems of Janiszewski (1945) (9)
- Vertical general position (1975) (9)
- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE (1967) (9)
- A 3-dimensional absolute retract which does not contain any disk (1964) (8)
- A toroidal decomposition of E3 (1967) (8)
- Coverings with connected intersections (1950) (7)
- Correction to Necessary and Sufficient Conditions that a 3-Manifold be S 3 (1963) (7)
- An arc is tame in 3-space if and only if it is strongly cellular (1964) (6)
- The Collected Papers of R.H. Bing (1988) (6)
- Extending monotone decompositions of 3-manifolds (1970) (6)
- Improving the intersections of lines and surfaces. (1967) (5)
- Imbedding Decompositions of E 3 in E 4 (1960) (5)
- Retractions Onto Anr's (1969) (5)
- A DECOMPOSITION OF S3 WITH A NULL SEQUENCE OF CELLULAR ARCS (1979) (4)
- Concerning simple plane webs (1946) (4)
- Some Monotone Decompositions of a Cube (1955) (4)
- Every Simple Closed Curve in E3 is Unknotted in E4 (1964) (4)
- Collections filling up a simple plane web (1945) (3)
- Partially continuous decompositions (1955) (3)
- The simple connectivity of the sum of two disks. (1964) (3)
- Imbedding decompositions of ³ in ⁴ (1960) (3)
- Conformal minimal varieties (1943) (2)
- Solution of a Problem of R. L. Wilder (1948) (2)
- Some Axioms for Topology (1960) (2)
- Award for Distinguished Service to Professor Raymond L. Wilder (1973) (2)
- A Topological Characterization of a Line (1960) (2)
- ADDITIONAL QUESTIONS ON 3-MANIFOLDS (1967) (2)
- Decompositions that destroy simple connectivity (1986) (2)
- Sets Cutting the Plane (1946) (1)
- Review: W. Sierpiński, General topology (1953) (1)
- Computing the fundamental group of the complements of curves (1965) (1)
- Converse Linearity Conditions (1946) (1)
- Wild surfaces have some nice properties. (1986) (1)
- An Equilateral Distance (1951) (1)
- An unpublished reply. (1980) (1)
- Book Review: General topology (1953) (1)
- Award for Distinguished Service to Professor R. D. Anderson (1978) (1)
- An unusual map of a 3-cell onto itself (1974) (1)
- Appendix: Some standard results in topology (1983) (0)
- Pulling back feelers (1983) (0)
- Monotone Image of E Superscript 3 (1971) (0)
- Mapping onto spheres (1983) (0)
- Properties of the Real Numbers (1960) (0)
- Properties Preserved by Mappings (1960) (0)
- Topology Seminar, Wisconsin, 1965 (1966) (0)
- The generalized Schoenflies theorem (1983) (0)
- The Schoenflies theorem (1983) (0)
- Side approximation theorem (1983) (0)
- Applications of the side approximation theorem for surfaces (1962) (0)
- Definitions and Undefined Terms (1960) (0)
- ADDITIONAL QUESTIONS ON ABSTRACT SPACES (1967) (0)
- Intersections of surfaces with skeleta (1983) (0)
- An Unpublished Reply (1980) (0)
- Trends Toward Abstractness (1960) (0)
- Imbedding decompositions of $E\sp{3}$ in $E\sp{4}$ (1960) (0)
- The PL Schoenflies theorem for (1983) (0)
- Wild 2-spheres (1983) (0)
- Retractions onto ${\rm ANR’s}$ (1969) (0)
- Topology Seminar Wisconsin, 1965. (AM-60) (1967) (0)
- Continua, decompositions, manifolds : proceedings of Texas Topology Symposium, 1980 (1983) (0)
- Some Examples of Topological Spaces (1960) (0)
- Henri Temianka Correspondence; (bing) (1972) (0)
- Examples of Surfaces (1960) (0)
- The Jordan Curve Theorem (1960) (0)
- The fundamental group (1983) (0)
- Intersections of surfaces with 1-simplexes (1983) (0)

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