Jan Mycielski

Jan Mycielski's AcademicInfluence.com Rankings

Jan Mycielski

Mathematics

#7181

World Rank

#9812

Historical Rank

Set Theory

#24

World Rank

#32

Historical Rank

Measure Theory

#1923

World Rank

#2342

Historical Rank

mathematics Degrees

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Mathematics

Jan Mycielski's Degrees

PhD Mathematics University of Warsaw

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Jan Mycielski'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

What is a mathematical theory (1985) (357)
Organization of memory. (1973) (256)
Independent sets in topological algebras (1964) (176)
On the Lebesgue measurability and the axiom of determinateness (1964) (115)
Effect of exchange on interband magneto-absorption in zero gap Hg 1-kMnkTe mixed crystals (1978) (115)
On the axiom of determinateness (1964) (93)
Some compactifications of general algebras (1964) (74)
On the imbedding of topological groups into connected topological groups (1958) (64)
Games with perfect information (1992) (64)
Analysis without actual infinity (1981) (54)
Structures in Logic and Computer Science, A Selection of Essays in Honor of Andrzej Ehrenfeucht (1997) (50)
Some properties of connected compact groups (1958) (47)
Structures in Logic and Computer Science (1997) (45)
Abbreviating proofs by adding new axioms (1971) (45)
A Pseudorandom Sequence-How Random Is It? (1992) (39)
A Lattice of Chapters of Mathematics: Interpretations Between Theorems (1990) (38)
Review: Marvin Minsky and Seymour Papert, Perceptrons, An Introduction to Computational Geometry (1972) (37)
Algebraic independence and measure (1967) (36)
On the axiom of determinateness (II) (1966) (34)
Some new ideals of sets on the real line (1969) (31)
Landau levels and cyclotron resonance in graded mixed semiconductors (1975) (28)
The prevalence of permutations with infinite cycles (1994) (27)
Equationally compact algebras II (1967) (27)
On the Kaczmarz algorithm of approximation in infinite dimensional spaces (2001) (27)
A lattice of interpretability types of theories (1977) (27)
Sets, numbers, and universes : selected works (1974) (26)
The shortest curve that meets all the lines that meet a convex body (1986) (24)
Locally finite theories (1986) (23)
On the shortest curve which meets all the lines which meet a circle (1984) (23)
On the existence of free subgroups in topological groups (1957) (22)
On convex metric spaces IV (1961) (22)
Almost every function is independent (1973) (21)
Remarks on invariant measures in metric spaces (1974) (20)
Hereditarily finite sets and identity trees (1983) (19)
On convex linear forms (1974) (18)
Some remarks and problems on the colouring of infinite graphs and the theorem of Kuratowski (1964) (18)
Finitely additive invariant measures. I (1979) (18)
A compactification of the algebra of terms (1976) (17)
A learning theorem for linear operators (1988) (16)
Some problems on the universality of words in groups (1980) (16)
On a problem of interpolation by periodic functions (1961) (15)
Representations of infinite permutations by words (II) (1987) (15)
Can One Solve Equations in Groups (1977) (14)
Application of learning theorems (1991) (13)
Interpolation of functions over a measure space and conjectures about memory (1973) (13)
A model of the neocortex (1988) (13)
Foundations of Mathematics in the Twentieth Century (2001) (13)
The Banach-Tarski paradox for the hyperbolic plane (II) (1989) (13)
About sets invariant with respect to denumerable changes (1958) (12)
A Lattice of Chapters of Mathematics (1990) (12)
Some conditions for a mapping to be a covering (1961) (10)
On faithful representations of free products of groups (1961) (10)
Strong measure zero and infinite games (2017) (9)
Equations Unsolvable in GL 2 (C) and Related Problems (1978) (9)
On the paradox of the sphere (1955) (8)
The meaning of pure mathematics (1989) (8)
Shadows of the axiom of choice in the universe L(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L(\mathbb {R})$$\en (2017) (8)
Can mathematics explain natural intelligence (1986) (8)
A conjecture of Ulam on the invariance of measures in Gilbert's cube (1977) (8)
Polynomials with Preassigned Values at Their Branching Points (1970) (7)
Non-amenable groups with amenable action and some paradoxical decompositions in the plane (1998) (7)
On the decomposition of a segment into congruent sets and related problems (1957) (7)
On the Dependence of Functions on Their Variables (1982) (7)
Compositional complexity of Boolean functions (1982) (7)
New set-theoretic axioms derived from a lean metamathematics (1995) (7)
Shadows of the axiom of choice in the universe $$L(\mathbb {R})$$L(R) (2018) (7)
A System of Axioms of Set Theory for the Rationalists (2006) (7)
Advanced Problems: 6228-6233 (1978) (6)
Cellular automata on tress, a model for parallel computation (1991) (6)
On the pairing process and the notion of genealogical distance (1969) (6)
On random convex hulls (1987) (6)
Uniform approximation with linear combinations of reproducing kernels (1996) (6)
REPRESENTATIONS OF INFINITE PERMUTATIONS BY WORDS (2010) (6)
The Banach-Tarski Paradox: Foreword by Jan Mycielski (1985) (6)
About sets with strange isometrical properties (I) (1955) (6)
Light Traps (1996) (6)
Closed Curves on Spheres (2008) (5)
Homomorphisms of direct powers of algebras (1979) (5)
The Axiom of Choice, the Löwenheim-Skolem Theorem and Borel models (1991) (5)
On Small Subsets in Euclidean Spaces (2016) (5)
On free groups of motions and decompositions of the Euclidean space (1958) (5)
Two Problems on Geometric Bodies (1977) (5)
Axioms which imply GCH (2003) (5)
Theories of pursuit and evasion (1988) (4)
Quantifier-free versions of first order logic and their psychological significance (1992) (4)
On powers of bases in some compact algebras (1968) (4)
Correction to my paper on the colouring of infinite graphs and the theorem of Kuratowski (1967) (4)
Pure mathematics and physical reality (continuity and computability) (2007) (4)
Equational treatment of first-order logic (1995) (3)
Erratum to the paper "On the Kaczmarz algorithm of approximation in infinite-dimensional spaces" (Studia Math. 148 (2001), 75-86) (2006) (3)
On the tension between Tarski's nominalism and his model theory (definitions for a mathematical model of knowledge) (2004) (3)
Remarks on infinite systems of equations (1985) (3)
Concepts of Mathematical Linguistics: Means and Functional Domains (1998) (3)
Infrared magnetoabsorption in zero gap Hg 1-x Fe x Te and Hg 1-x Fe x (1982) (3)
Linear dynamic approximation theory (1979) (3)
Paradoxical sets and sets with two removable points (2018) (2)
On the extension of equalities in connected topological groups (1957) (2)
Elementary Problems: E2847-E2852 (1980) (2)
On Families of Intersecting Sets (1974) (2)
The Meaning of the Conjecture P NP for Mathematical Logic (1983) (2)
A problem of invariance for Lebesgue measure (1979) (2)
Erratum to the paper "The Axion of Choice, the Löwenheim–Skolem Theorem and Borel models" (Fund. Math. 137 (1991), 53-58) (1992) (2)
An _{₁} complete and consistent theory without models (1977) (2)
Math Circles and Olympiads MSRI Asks : Is the U . S . Coming of Age ? (2006) (2)
On the Formalization of Theories (2013) (2)
On k-Stable Functions (1979) (2)
Some models of plane geometries and a functional equation (1991) (2)
8. Continuous Games of Perfect Information (1964) (2)
Some models of plane geometries (1990) (2)
On the method of category in analytic manifolds (1957) (1)
Advanced Problems: 5854-5859 (1972) (1)
Model completeness of some metric completions of absolutely free algebras (1981) (1)
Advanced Problems: 6205,6240-6245 (1978) (1)
Elementary Problems: E2581-E2586 (1976) (1)
On boolean functions and connected sets (1971) (1)
Quantum oscillations of indirect interband magnetoabsorption below the Burstein edge (1983) (1)
Concerning the characterization of linear spaces (1964) (1)
Graphs with valency k, edge connectivity k, chromatic index k + 1 and arbitrary girth (1973) (1)
Advanced Problems: 6096-6101 (1976) (1)
Theories of pursuit and evasion (1989) (1)
Keyboards for pure music (1978) (1)
On the equivalence of sets of equal Haar measures by countable decomposition (2019) (1)
On some 2-edge-connected homogenous graphs and Cayley graphs with two removable vertices (2021) (1)
Pursuit and Evasion in a Circle (1984) (1)
Exchange of independent sets in abstract algebras I (1966) (1)
Advanced Problems: 6252-6257 (1979) (1)
Canonical Universes and Intuitions About Probabilities (2006) (1)
An L ω 1 ω Complete and Consistent Theory Without Models (1977) (1)
On Intersections of Generic Perturbations of Definable Sets (2016) (1)
On the Conjugates of the Function 2|x|—1 in [—1, 1] (1980) (1)
Elementary Problems: E2587-E2592 (1976) (1)
On some 2-edge-connected homogenous graphs and Cayley graphs with two removable vertices (2021) (0)
Advanced Problems: 5740-5745 (1970) (0)
Problems Dedicated to Emory P. Starke: S24-S25 (1980) (0)
Advanced Problems: 6036-6041 (1975) (0)
Advanced Problems: 6108-6113 (1976) (0)
Concepts of Mathematical Linguistics (1998) (0)
Keyboards for Pure Music ; CU-CS-109-77 (1977) (0)
Advanced Problems: 5940-5945 (1973) (0)
Two Constructions of Lebesgue's Measure (1978) (0)
An $L\sb{\omega \sb{1}\omega }$ complete and consistent theory without models (1977) (0)
An infinite solitaire game with a random strategy (1979) (0)
Errata for the paper "Equationally compact algebras II" (Fundamenta Mathematica 61 (1968), pp. 271-281) (1968) (0)
On k-Stable Functions ; CU-CS-111-77 (1977) (0)
Remarks on the space of monotonic functions (1984) (0)
Advanced Problems: 6393-6398 (1982) (0)
Advanced Problems: 6310-6315 (1980) (0)
Advanced Problems: 5783-5788 (1971) (0)
encountered in undergraduate mathematics. Each problem should be accompanied by relevant references (if (2016) (0)
o-CONNECTEDNESS IN HEREDITARILY (2010) (0)
Strong measure zero and infinite games (2017) (0)
Observations on Truth, Consistency and Lengths of Proofs (2008) (0)
Advanced Problems: 6000-6005 (1974) (0)
Advanced Problems: 6362-6367 (1981) (0)
The Meaning of the ConjectureP≠NPfor Mathematical Logic (1983) (0)
Annual Meeting of the Association for Symbolic Logic (1965) (0)
CONTINUOUS GAMES WITH PERFECT INFORMATIOION (1962) (0)
On the Organization of Memory ; CU-CS-014-73 (1973) (0)
Primes and power-primes (1989) (0)
On the Formalization of Theories (2012) (0)
On the structure of closed 3-manifolds (2003) (0)
Addendum to the Foreword (2016) (0)
Annual Meeting of the Association for Symbolic Logic Denver, 1983 (1984) (0)
Problems for Solution: E1386-E1390 (1959) (0)
Paradoxical sets and sets with two removable points (2018) (0)
Advanced Problems: 5771-5776 (1971) (0)
The Banach-Tarski Paradox. By Stan Wagon (1987) (0)
Meeting of the Association for Symbolic Logic, Dallas 1973 (1973) (0)
Reality and locality in quantum mechanics, an experiment proposed (2010) (0)

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What Schools Are Affiliated With Jan Mycielski?

Jan Mycielski is affiliated with the following schools:

University of Colorado

Jan Mycielski's Academic­Influence.com Rankings

Jan Mycielski's Degrees

Why Is Jan Mycielski Influential?

Jan Mycielski's Published Works

Published Works

What Schools Are Affiliated With Jan Mycielski?

Jan Mycielski's AcademicInfluence.com Rankings