Robert Daverman

Q: What Schools Are Affiliated With Robert Daverman

Robert Daverman is affiliated with the following schools: University of Tennessee, University of Wisconsin–Madison

Robert Daverman's AcademicInfluence.com Rankings

Robert Daverman

Mathematics

#8176

World Rank

#11105

Historical Rank

#2175

USA Rank

Topology

#61

World Rank

#86

Historical Rank

#28

USA Rank

Measure Theory

#3306

World Rank

#3907

Historical Rank

#955

USA Rank

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Mathematics

Why Is Robert Daverman Influential?

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According to Wikipedia, Robert Jay Daverman is an American topologist. Daverman was born in Grand Rapids, Michigan, on 28 September 1941. He earned a bachelor's degree in 1963 from Calvin College and pursued doctoral study under R. H. Bing at the University of Wisconsin–Madison. After completing his thesis Locally Fenced 2-spheres in S3 in 1967, Daverman began teaching at the University of Tennessee–Knoxville. While on the Knoxville faculty, Daverman served on the American Mathematical Society's Committee on Science Policy. By the time he was selected as one of the inaugural fellows of the AMS in 2012, Daverman had gained emeritus status.

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Robert Daverman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Decompositions of manifolds (1986) (320)
Handbook of Geometric Topology (2002) (166)
Embeddings in Manifolds (2009) (62)
Detecting the disjoint disks property (1981) (45)
A ghastly generalized $n$-manifold (1981) (37)
Locally nice codimension one manifolds are locally flat (1973) (35)
Cech Homology Characterizations of Infinite Dimensional Manifolds (1981) (33)
Submanifold decompositions that induce Approximate fibrations (1989) (33)
Hyperhopfian groups and approximate fibrations (1993) (30)
Decompositions of manifolds into codimension one submanifolds (1985) (28)
Decompositions and approximate fibrations. (1984) (27)
Decompositions into codimension-two manifolds (1985) (24)
PL Maps with Manifold Fibers (1992) (19)
Embedding phenomena based upon decomposition theory: wild Cantor sets satisfying strong homogeneity properties (1979) (18)
Decompositions into submanifolds that yield generalized manifolds (1987) (18)
Every crumpled $n$-cube is a closed $n$-cell-complement. (1977) (18)
CE equivalence and shape equivalence of 1-dimensional compacta (1987) (17)
Hereditarily aspherical compacta and cell-like maps (1991) (16)
Examples of cell-like maps that are not shape equivalences. (1983) (16)
Manifolds that induce approximate fibrations in the PL category (1995) (16)
A NEW PROOF FOR THE HOSAY-LININGER THEOREM ABOUT CRUMPLED CUBES' (1969) (15)
Products of cell-like decompositions (1980) (15)
Embeddings of $\left( {n - 1} \right)$-spheres in Euclidean $n$-space (1978) (15)
General Position Properties That Characterize 3-Manifolds (1992) (13)
On weakly flat 1-spheres (1973) (12)
Decompositions into codimension two submanifolds: The nonorientable case (1986) (12)
On the absence of tame disks in certain wild cells (1975) (12)
A 4-dimensional 1-LCC Shrinking Theorem (2001) (11)
Cell-like maps and aspherical compacta (1996) (11)
Wildness and flatness of codimension one spheres having double tangent balls (1981) (11)
CODIMENSION 2 NONFIBRATORS WITH FINITE FUNDAMENTAL GROUPS (1999) (10)
Singular regular neighborhoods and local flatness in codimension one (1976) (10)
On the scarcity of tame disks in certain mild cells (1973) (10)
Path concordances as detectors of codimension-one manifold factors (2009) (10)
An equivalence for the embeddings of cells in a 3-manifold (1969) (9)
The PL fibrators among aspherical geometric $3$-manifolds. (1994) (9)
Cell-like decompositions arising from mismatched sewings: applications to 4-manifolds (1981) (9)
Connected Sums of 4‐Manifolds as Codimension‐k Fibrators (2003) (9)
A loop condition for embedded compacts (1975) (9)
Manifolds with finite first homology as codimension 2 fibrators (1991) (9)
A new 3-dimensional shrinking criterion (1989) (9)
Slicing theorems for $n$-spheres in Euclidean $(n+1)$-space (1972) (8)
Wild cantor sets as approximations to codimension two manifolds (1987) (8)
Products of hopfian manifolds and codimension-2 fibrators (2000) (8)
A dense set of sewings of two crumpled cubes yields $S^3$ (1969) (8)
Decompositions into codimension two spheres and approximate fibrations (1985) (8)
Pushing an $(n-l)$-sphere in $S^n$ almost into its complement (1972) (8)
Weak flatness criteria for codimension 2 spheres in codimension 1 manifolds (1976) (7)
On proper surjections with locally trivial Leray sheaves (1995) (7)
Acyclic decompositions of manifolds (1983) (7)
A nonshrinkable decomposition of ⁿ determined by a null sequence of cellular sets (1979) (6)
The 3-manifold recognition problem (2006) (6)
Cell-like 0-dimensional decompositions of ³ are 4-manifold factors (1979) (6)
The cell-like approximation theorem in dimension 5 (2007) (6)
SPECIAL APPROXIMATIONS TO EMBEDDINGS OF CODIMENSION ONE SPHERES (1978) (6)
EMBEDDINGS OF (n-1)-SPHERES IN EUCLIDEAN «-SPACE (2007) (6)
The Collected Papers of R.H. Bing (1988) (6)
Factored codimension one cells in Euclidean $n$-space. (1973) (6)
Hyperbolic Groups are Hyperhopfian (2000) (5)
Shrinking certain sliced decompositions of ⁿ (1980) (5)
CELL-LIKE O-DIMENSIONAL DECOMPOSITIONS OF S 3 ARE 4-MANIFOLD FACTORS (5)
On the number of nonpiercing points in certain crumpled cubes. (1970) (5)
Real projective spaces are nonfibrators (1999) (5)
Approximating polyhedra in codimension one spheres embedded in $s^{n}$ by tame polyhedra. (1974) (5)
PL fibrator properties of partially aspherical manifolds (2004) (5)
Laminations, finitely generated perfect groups, and acyclic maps. (1986) (5)
Any 2-Sphere in E 3 with Uniform Interior Tangent Balls is Flat (1981) (5)
The cell-like approximation theorem in dimension (2007) (4)
Intrinsically $(n-2)$-dimensional cellular decompositions of $E^{n}$. (1982) (4)
A nonshrinkable decomposition of ⁿ involving a null sequence of cellular arcs (1982) (4)
Complex projective spaces as PL fibrators (1995) (4)
Homotopy Classification of Complements of Locally Flat Codimension Two Spheres (1976) (4)
2-groups and approximate fibrations (2002) (4)
Each crumpled 4-cube is a closed 4-cell-complement (1987) (4)
Controls on the plus construction. (1996) (4)
Laminated decompositions involving a given submanifold (1985) (3)
Non-homeomorphic approximations of manifolds with surfaces of bounded genus (1970) (3)
Cross sectionally simple spheres can be wild (1979) (3)
Infinite inflations of crumpled cubes (1981) (3)
Universal crumpled cubes (1972) (3)
On cells in Euclidean space that cannot be squeezed (1975) (3)
Wild spheres in ⁿ that are locally flat modulo tame Cantor sets (1975) (3)
A controlled plus construction for crumpled laminations (1994) (3)
The 3-dimensionality of certain codimension-3 decompositions (1986) (2)
Nested defining sequences and 1 dimensionality of decomposition elements (2017) (2)
The homotopy type of certain laminated manifolds (1986) (2)
Decompositions into submanifolds of fixed codimension (1986) (2)
The intimate connections among decomposition theory, embedding theory, and manifold structure theory (1987) (2)
Fibrator properties of manifolds (2005) (1)
Arcs in the Hilbert cube $(S^n)$ whose complements have different fundamental groups (1983) (1)
A hierarchy for closed n-cell-complements (2014) (1)
Intrinsically $(n-1)$-dimensional cellular decompositions of $S^{n}$ (1983) (1)
CE Equivalences in the Locally Connected Category (1987) (1)
SHRINKING CERTAIN SLICED DECOMPOSITIONS OF En+l (2010) (1)
1-dimensional phenomena in cell-like mappings on 3-manifolds (1988) (1)
A self-universal crumpled cube which is not universal (1970) (1)
Degree-one, monotone self-maps of the Pontryagin surface are near-homeomorphisms (2019) (1)
Embedding phenomena based upon decomposition theory: locally spherical but wild codimension one spheres (1984) (1)
Trivial-range embeddings (2009) (0)
Wild disks in $E^{n}$ that can be squeezed only to tame arcs (1972) (0)
The shrinkability criterion (2007) (0)
Wild and flat embeddings (2009) (0)
The cell-like approximation theorem (2007) (0)
Codimension-zero embeddings (2009) (0)
Codimension-two embeddings (2009) (0)
Toroidal Decompositions of Manifolds Yield Factors of Manifolds (1975) (0)
Few sewings of certain crumpled $n$-cubes yield $S^n$ (2017) (0)
Another universality property for crumpled cubes (1982) (0)
SLICING THEOREMS FOR «-SPHERES IN EUCLIDEAN ( rt + l )-SPACE (2010) (0)
Wild cells in ⁴ in which every arc is tame (1972) (0)
SLICING THEOREMS FOR «-SPHERES IN EUCLIDEAN ( rt + l )-SPACE (2010) (0)
Elementary arcs in 3-space that can be realized by squeezing 3-ceIls (1971) (0)
ON PROPER SURJECTIONS WITH LOCALLY TRIVIAL (1995) (0)
Codimension-three embeddings (2009) (0)
Sewings of crumpled cubes revisited (2007) (0)
A summary of results and problems concerning flatness of codimension one spheres in En (1975) (0)
Codimension-one embeddings (2009) (0)
Shrinkable decompositions of non-metric manifolds can produce other manifolds (1979) (0)
Crumpled cubes that are not highly complex (1978) (0)
WILD SPHERES IN E" THAT ARE LOCALLY (2010) (0)
WILD CELLS IN £4 IN WHICH EVERY (2010) (0)
Crumpled laminations and manifolds of nonfinite type (1996) (0)
Embedding phenomena based upon decomposition theory: an unusual cellular 2-cell (1979) (0)
Applications to manifolds (2007) (0)
c-5 – Cell-Like Maps (2003) (0)
Cell-like decompositions of absolute neighborhood retracts (2007) (0)
k-10 – Manifold (2003) (0)
Tame and knotted embeddings (2009) (0)
A collaring theorem for codimension one manifolds (1994) (0)
Engulfing, cellularity, and embedding dimension (2009) (0)
A degree-zero, monotone, surjective self-map of the Pontryagin surface (2021) (0)

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Robert Daverman's Published Works

Published Works

Other Resources About Robert Daverman

What Schools Are Affiliated With Robert Daverman?

Robert Daverman's AcademicInfluence.com Rankings