# zbMATH — the first resource for mathematics

## Eggleston, H. G.

Compute Distance To:
 Author ID: eggleston.h-g Published as: Eggleston, H. G.
 Documents Indexed: 65 Publications since 1948, including 2 Books
all top 5

#### Co-Authors

 59 single-authored 1 Besicovitch, Abram S. 1 Grünbaum, Branko 1 Klee, Victor LaRue 1 Taylor, Samuel James 1 Ursell, H. D. 1 Wilson, Rowland 1 Zirakzadeh, A.
all top 5

#### Serials

 14 Journal of the London Mathematical Society 9 Proceedings of the Cambridge Philosophical Society 6 The Quarterly Journal of Mathematics. Oxford Second Series 5 Proceedings of the London Mathematical Society. Third Series 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematika 2 Israel Journal of Mathematics 2 Duke Mathematical Journal 2 Fundamenta Mathematicae 2 Proceedings of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Second Series 1 American Mathematical Monthly 1 The Mathematical Gazette 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Series 1 Cambridge Tracts in Mathematics and Mathematical Physics

#### Fields

 9 Convex and discrete geometry (52-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX)

#### Citations contained in zbMATH Open

43 Publications have been cited 540 times in 514 Documents Cited by Year
Convexity. Zbl 0086.15302
Eggleston, H. G.
1958
The fractional dimension of a set defined by decimal properties. Zbl 0031.20801
Eggleston, H. G.
1949
Sets of fractional dimensions which occur in some problems of number theory. Zbl 0045.16603
Eggleston, H. G.
1951
Sets of constant width in finite dimensional Banach spaces. Zbl 0166.17901
Eggleston, H. G.
1965
Some semicontinuity theorems for convex polytopes and cell-complexes. Zbl 0137.41802
Eggleston, H. G.; Grünbaum, Branko; Klee, V.
1964
Covering a three-dimensional set with sets of smaller diameter. Zbl 0065.15304
Eggleston, H. G.
1955
Some properties of triangles as extremal convex curves. Zbl 0050.16602
Eggleston, H. G.
1953
A condition for a compact plane set to be a union of finitely many convex sets. Zbl 0282.52003
Eggleston, H. G.
1974
Problems in Euclidean space. Application of convexity. Zbl 0083.38102
Eggleston, H. G.
1957
Approximation to plane convex curves. I. Dowker-type theorems. Zbl 0080.15603
Eggleston, H. G.
1957
Two measure properties of Cartesian product sets. Zbl 0057.28902
Eggleston, H. G.
1954
The total length of the edges of a polyhedron. Zbl 0083.17302
Besicovitch, A. S.; Eggleston, H. G.
1957
Notes on Minkowski geometry. I: Relations between the circumradius, diameter, inradius and minimal width of a convex set. Zbl 0082.15704
Eggleston, H. G.
1958
Measure of asymmetry of convex curves of constant width and restricted radii of curvature. Zbl 0046.16003
Eggleston, H. G.
1952
Figures inscribed in convex sets. Zbl 0082.15803
Eggleston, H. G.
1958
A proof of Blaschke’s theorem on the Reuleaux triangle. Zbl 0048.16604
Eggleston, H. G.
1952
On triangles circumscribing plane convex sets. Zbl 0050.16603
Eggleston, H. G.
1953
The maximal inradius of the convex cover of a plane connected set of given length. Zbl 0457.52010
Eggleston, H. G.
1982
A property of plane homeomorphisms. Zbl 0067.40603
Eggleston, H. G.
1955
On closest packing by equilateral triangles. Zbl 0050.05801
Eggleston, H. G.
1953
The maximal length of chords bisecting the area or perimeter length of plane convex sets. Zbl 0109.14902
Eggleston, H. G.
1961
Minimal universal covers in $$E^ n$$. Zbl 0117.39502
Eggleston, H. G.
1963
A minimal density plane covering problem. Zbl 0151.26302
Eggleston, H. G.
1965
On the size of equilateral triangles which may be inscribed in curves of constant width. Zbl 0047.15803
Eggleston, H. G.; Taylor, S. J.
1952
On the projection of a plane set of finite linear measure. Zbl 0083.38201
Eggleston, H. G.
1958
The Bohr spectrum of a bounded function. Zbl 0098.28401
Eggleston, H. G.
1958
A characterisation of a simplex. Zbl 0209.26402
Eggleston, H. G.
1971
A tauberian lemma. Zbl 0045.33501
Eggleston, H. G.
1951
Intersection of convex sets. Zbl 0256.52006
Eggleston, H. G.
1972
Sets of constant width contained in a set of given minimal width. Zbl 0064.16702
Eggleston, H. G.
1955
The range set of a function meromorphic in the unit circle. Zbl 0065.30702
Eggleston, H. G.
1955
Tangential properties of Fréchet surfaces. Zbl 0081.16303
Eggleston, H. G.
1958
Note on a conjecture of L. A. Santaló. Zbl 0099.38403
Eggleston, H. G.
1961
An extremal problem concerning the controid of a plane convex set. Zbl 0147.22201
Eggleston, H. G.
1967
Concentrated sets. Zbl 0155.10404
Eggleston, H. G.
1967
Intersections of sets in Euclidean space. Zbl 0033.17001
Eggleston, H. G.
1948
A characteristic property of Hausdorff measure. Zbl 0035.32502
Eggleston, H. G.
1950
A property of Hausdorff measure. Zbl 0040.17202
Eggleston, H. G.
1950
Note on certain s-dimensional sets. Zbl 0040.25002
Eggleston, H. G.
1949
Correction to “A property of Hausdorff measure”. Zbl 0042.28401
Eggleston, H. G.
1951
A generalization of the Hurwitz composition theorem to irregular power series. Zbl 0042.30904
Eggleston, H. G.
1951
On the lightness and strong interiority of analytic functions. Zbl 0047.31002
Eggleston, H. G.; Ursell, H. D.
1952
A correction to a paper on the dimension of Cartesian product sets. Zbl 0050.05802
Eggleston, H. G.
1953
The maximal inradius of the convex cover of a plane connected set of given length. Zbl 0457.52010
Eggleston, H. G.
1982
A condition for a compact plane set to be a union of finitely many convex sets. Zbl 0282.52003
Eggleston, H. G.
1974
Intersection of convex sets. Zbl 0256.52006
Eggleston, H. G.
1972
A characterisation of a simplex. Zbl 0209.26402
Eggleston, H. G.
1971
An extremal problem concerning the controid of a plane convex set. Zbl 0147.22201
Eggleston, H. G.
1967
Concentrated sets. Zbl 0155.10404
Eggleston, H. G.
1967
Sets of constant width in finite dimensional Banach spaces. Zbl 0166.17901
Eggleston, H. G.
1965
A minimal density plane covering problem. Zbl 0151.26302
Eggleston, H. G.
1965
Some semicontinuity theorems for convex polytopes and cell-complexes. Zbl 0137.41802
Eggleston, H. G.; Grünbaum, Branko; Klee, V.
1964
Minimal universal covers in $$E^ n$$. Zbl 0117.39502
Eggleston, H. G.
1963
The maximal length of chords bisecting the area or perimeter length of plane convex sets. Zbl 0109.14902
Eggleston, H. G.
1961
Note on a conjecture of L. A. Santaló. Zbl 0099.38403
Eggleston, H. G.
1961
Convexity. Zbl 0086.15302
Eggleston, H. G.
1958
Notes on Minkowski geometry. I: Relations between the circumradius, diameter, inradius and minimal width of a convex set. Zbl 0082.15704
Eggleston, H. G.
1958
Figures inscribed in convex sets. Zbl 0082.15803
Eggleston, H. G.
1958
On the projection of a plane set of finite linear measure. Zbl 0083.38201
Eggleston, H. G.
1958
The Bohr spectrum of a bounded function. Zbl 0098.28401
Eggleston, H. G.
1958
Tangential properties of Fréchet surfaces. Zbl 0081.16303
Eggleston, H. G.
1958
Problems in Euclidean space. Application of convexity. Zbl 0083.38102
Eggleston, H. G.
1957
Approximation to plane convex curves. I. Dowker-type theorems. Zbl 0080.15603
Eggleston, H. G.
1957
The total length of the edges of a polyhedron. Zbl 0083.17302
Besicovitch, A. S.; Eggleston, H. G.
1957
Covering a three-dimensional set with sets of smaller diameter. Zbl 0065.15304
Eggleston, H. G.
1955
A property of plane homeomorphisms. Zbl 0067.40603
Eggleston, H. G.
1955
Sets of constant width contained in a set of given minimal width. Zbl 0064.16702
Eggleston, H. G.
1955
The range set of a function meromorphic in the unit circle. Zbl 0065.30702
Eggleston, H. G.
1955
Two measure properties of Cartesian product sets. Zbl 0057.28902
Eggleston, H. G.
1954
Some properties of triangles as extremal convex curves. Zbl 0050.16602
Eggleston, H. G.
1953
On triangles circumscribing plane convex sets. Zbl 0050.16603
Eggleston, H. G.
1953
On closest packing by equilateral triangles. Zbl 0050.05801
Eggleston, H. G.
1953
A correction to a paper on the dimension of Cartesian product sets. Zbl 0050.05802
Eggleston, H. G.
1953
Measure of asymmetry of convex curves of constant width and restricted radii of curvature. Zbl 0046.16003
Eggleston, H. G.
1952
A proof of Blaschke’s theorem on the Reuleaux triangle. Zbl 0048.16604
Eggleston, H. G.
1952
On the size of equilateral triangles which may be inscribed in curves of constant width. Zbl 0047.15803
Eggleston, H. G.; Taylor, S. J.
1952
On the lightness and strong interiority of analytic functions. Zbl 0047.31002
Eggleston, H. G.; Ursell, H. D.
1952
Sets of fractional dimensions which occur in some problems of number theory. Zbl 0045.16603
Eggleston, H. G.
1951
A tauberian lemma. Zbl 0045.33501
Eggleston, H. G.
1951
Correction to “A property of Hausdorff measure”. Zbl 0042.28401
Eggleston, H. G.
1951
A generalization of the Hurwitz composition theorem to irregular power series. Zbl 0042.30904
Eggleston, H. G.
1951
A characteristic property of Hausdorff measure. Zbl 0035.32502
Eggleston, H. G.
1950
A property of Hausdorff measure. Zbl 0040.17202
Eggleston, H. G.
1950
The fractional dimension of a set defined by decimal properties. Zbl 0031.20801
Eggleston, H. G.
1949
Note on certain s-dimensional sets. Zbl 0040.25002
Eggleston, H. G.
1949
Intersections of sets in Euclidean space. Zbl 0033.17001
Eggleston, H. G.
1948
all top 5

#### Cited by 655 Authors

 11 Martini, Horst 9 Dikranjan, Dikran N. 8 Moreno, José-Pedro 7 Klee, Victor LaRue 7 Lutz, Jack H. 6 Barreira, Luis Manuel 6 Jin, Hailin 6 Soltan, Valeriu 5 Lassak, Marek 5 Schneider, Rolf G. 5 Vitale, Richard A. 5 Volkmann, Bodo 5 Yang, Sibei 4 Berele, Allan 4 Breen, Marilyn 4 Catoiu, Stefan 4 Dumitrescu, Adrian 4 Gruber, Peter Manfred 4 Merino, Bernardo González 4 Perles, Micha A. 4 Richter, Christian 4 Sallee, G. Thomas 4 Wen, Zhixiong 4 Yang, Dachun 4 Yuan, Wen 3 Albeverio, Sergio A. 3 Barral, Julien 3 Brandenberg, René 3 Davis, Philip J. 3 Dekster, Boris V. 3 Eggleston, H. G. 3 Feng, De-Jun 3 Fodor, Ferenc 3 Gabriyelyan, Saak S. 3 Guisewite, Geoffrey M. 3 Guo, Qi 3 Hambrook, Kyle 3 Jahn, Thomas 3 Järvenpää, Esa 3 Järvenpää, Maarit 3 Jiang, Minghui 3 Kalnishkan, Yuri 3 Makeev, Vladimir Vladimirovich 3 Maluta, Elisabetta 3 Mauldin, Richard Daniel 3 Pan, Shengliang 3 Pardalos, Panos M. 3 Pham Dinh Tao 3 Pratsiovytyi, Mykola 3 Seuret, Stéphane 3 Stefani, Oscar 3 Torbin, Grygoriy Myroslavovych 3 Valls Anglés, Cláudia 3 Vyugin, Michael V. 3 Wu, Jun 2 Allaart, Pieter C. 2 Andrews, George Eyre 2 Aumann, Robert John 2 Baker, Simon 2 Bambah, R. P. 2 Bezdek, András 2 Bianchi, Gabriele 2 Bisbas, Antonis 2 Boltyanskij, Vladimir Grigor’evich 2 Braverman, Mark 2 Brown, Gavin 2 Burton, Geoffrey R. 2 Chakerian, Gulbank D. 2 Chen, Haibo 2 Chiesa, Alessandro 2 Cigler, Johann 2 Das, Pratulananda 2 DeTemple, Duane W. 2 Di Santo, Raffaele 2 Ekström, Fredrik 2 Fan, Ai Hua 2 Ferone, Vincenzo 2 Florian, August 2 Ghomi, Mohammad 2 Giordano Bruno, Anna 2 Gritzmann, Peter 2 Grünbaum, Branko 2 Hardt, Moritz 2 Hassidim, Avinatan 2 Hermes, Henry 2 Heymann, Michael 2 Ivanov, Aleksandr Yur’evich 2 Jordan, Thomas M. 2 Jurkat, Wolfgang B. 2 Klain, Daniel A. 2 Kojman, Menachem 2 Kong, Derong 2 Kupitz, Yaakov S. 2 Lacoin, Hubert 2 Larman, David G. 2 Leng, Gangsong 2 Lillington, J. N. 2 Mayordomo, Elvira 2 Micali, Silvio 2 Nagasaka, Kenji ...and 555 more Authors
all top 5

#### Cited in 150 Serials

 33 Journal of Mathematical Analysis and Applications 22 Transactions of the American Mathematical Society 21 Proceedings of the American Mathematical Society 15 Mathematika 15 Monatshefte für Mathematik 14 Advances in Mathematics 14 Topology and its Applications 12 Journal of Geometry 11 Israel Journal of Mathematics 11 Discrete & Computational Geometry 9 Discrete Mathematics 9 Archiv der Mathematik 9 Journal of Approximation Theory 9 Journal of Differential Equations 9 Mathematische Annalen 9 Theoretical Computer Science 8 Mathematical Proceedings of the Cambridge Philosophical Society 7 Journal of Mathematical Sciences (New York) 6 Acta Mathematica Academiae Scientiarum Hungaricae 6 Linear Algebra and its Applications 5 Communications in Mathematical Physics 5 Geometriae Dedicata 5 Results in Mathematics 5 Bulletin of the American Mathematical Society 4 Periodica Mathematica Hungarica 4 Beiträge zur Algebra und Geometrie 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Compositio Mathematica 4 Journal of Functional Analysis 4 Journal of Number Theory 4 Mathematische Zeitschrift 4 Advances in Applied Mathematics 4 Ergodic Theory and Dynamical Systems 4 Acta Mathematica Hungarica 4 Expositiones Mathematicae 4 Bulletin des Sciences Mathématiques 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Journal of Combinatorial Theory. Series A 3 Journal of Computer and System Sciences 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Revista Matemática Iberoamericana 3 Information and Computation 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Acta Mathematica 2 Fundamenta Mathematicae 2 Journal of Pure and Applied Algebra 2 Journal of Soviet Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Real Analysis Exchange 2 Rendiconti del Seminario Matematico della Università di Padova 2 Ricerche di Matematica 2 Journal of Global Optimization 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Discrete and Continuous Dynamical Systems 2 Journal of Applied Analysis 2 Theory of Computing Systems 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Advances in Geometry 2 International Journal of Number Theory 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Journal of the Mechanics and Physics of Solids 1 Arkiv för Matematik 1 The Mathematical Intelligencer 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Graph Theory 1 Journal of Mathematical Psychology 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Mathematical Programming 1 Mathematica Scandinavica 1 Michigan Mathematical Journal 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II ...and 50 more Serials
all top 5

#### Cited in 49 Fields

 176 Convex and discrete geometry (52-XX) 93 Measure and integration (28-XX) 69 Number theory (11-XX) 65 Computer science (68-XX) 38 Dynamical systems and ergodic theory (37-XX) 31 General topology (54-XX) 29 Functional analysis (46-XX) 27 Probability theory and stochastic processes (60-XX) 18 Combinatorics (05-XX) 17 Operations research, mathematical programming (90-XX) 16 Real functions (26-XX) 15 Information and communication theory, circuits (94-XX) 14 Geometry (51-XX) 13 Topological groups, Lie groups (22-XX) 13 Partial differential equations (35-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Abstract harmonic analysis (43-XX) 9 Mathematical logic and foundations (03-XX) 9 Approximations and expansions (41-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 8 Manifolds and cell complexes (57-XX) 8 Numerical analysis (65-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX)