Daniel Kan | Academic Influence

Daniel Kan's AcademicInfluence.com Rankings

Daniel Kan

Mathematics

#726

World Rank

#1323

Historical Rank

Algebraic Topology

#24

World Rank

#30

Historical Rank

Measure Theory

#2348

World Rank

#2807

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Daniel Kan's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Daniel Kan Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Daniel Marinus Kan was a Dutch mathematician working in category theory and homotopy theory. He was a prolific contributor to both fields for six decades, having authored or coauthored several dozen research papers and monographs.

(See a Problem?)

Daniel Kan'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

Homotopy Limits, Completions and Localizations (1987) (1714)
Function complexes in homotopical algebra (1980) (328)
Simplicial localizations of categories (1980) (308)
Calculating simplicial localizations (1980) (259)
A COMBINATORIAL DEFINITION OF HOMOTOPY GROUPS (1958) (201)
The mod-p lower central series and the Adams spectral sequence (1966) (186)
FUNCTORS INVOLVING C.S.S. COMPLEXES (1958) (183)
Relative categories: Another model for the homotopy theory of homotopy theories (2010) (137)
Every connected space has the homology of a K(π,1) (1976) (133)
HOMOTOPY COMMUTATIVE DIAGRAMS AND THEIR REALIZATIONS (1989) (127)
The homotopy spectral sequence of a space with coefficients in a ring (1972) (115)
ABSTRACT HOMOTOPY. (1955) (110)
A classification theorem for diagrams of simplicial sets (1984) (103)
Adjoint Functors (2010) (99)
Homotopy theory and simplicial groupoids (1984) (88)
Function complexes for diagrams of simplicial sets (1983) (72)
ABSTRACT HOMOTOPY. III. (1956) (67)
An E2 model category structure for pointed simplicial spaces (1993) (66)
Singular functors and realization functors (1984) (64)
The homotopy theory of cyclic sets (1985) (58)
Model categories and more general abstract homotopy theory (1997) (58)
An obstruction theory for diagrams of simplicial sets (1984) (52)
A characterization of simplicial localization functors and a discussion of DK equivalences (2012) (52)
An arithmetic square for virtually nilpotent spaces (1977) (44)
VIII. Equivalences Between Homotopy Theories of Diagrams (1988) (42)
Normalizing the cyclic modules of connes (1985) (41)
The bigraded homotopy groups πi, jX of a pointed simplicial space X (1995) (41)
Equivariant maps which are self homotopy equivalences (1980) (40)
A second quadrant homotopy spectral sequence (1973) (38)
The core of a ring (1972) (38)
A Relation Between CW-Complexes and Free c.s.s. Groups (1959) (34)
Centric maps and realization of diagrams in the homotopy category (1992) (34)
The reduced join of two spectra (1965) (34)
On the realizability of singular cohomology groups (1961) (32)
Pairings and products in the homotopy spectral sequence (1973) (27)
Realizing diagrams in the homotopy category by means of diagrams of simplicial sets (1984) (25)
Equivariant homotopy classification (1985) (24)
Towers of fibrations and homotopical wreath products (1989) (21)
Localization and completion in homotopy theory (1971) (20)
ABSTRACT HOMOTOPY. II. (1956) (19)
An obstruction theory for simplicial categories (1986) (18)
Self homotopy equivalences of virtually nilpotent spaces (1981) (17)
Partial model categories and their simplicial nerves (2011) (14)
n-relative categories: a model for the homotopy theory of n-fold homotopy theories (2013) (14)
Orientability and poincaré duality in general homology theories (1965) (13)
THREE HOMOTOPY THEORIES FOR CYCLIC MODULES (1987) (12)
Automorphisms of fibrations (1980) (11)
Homotopy types and sullivan's algebras of 0-forms. (1977) (11)
QUILLEN THEOREMS Bn FOR HOMOTOPY PULLBACKS OF (∞, k)-CATEGORIES (2013) (10)
Homology and cohomology of Π-algebras (1994) (9)
FROM PARTIAL MODEL CATEGORIES TO ∞-CATEGORIES (2013) (8)
ABSTRACT HOMOTOPY. IV. (1956) (8)
Minimal free c.s.s. groups (1958) (7)
Self-homotopy equivalences of Postnikov conjugates (1979) (6)
n-Relative Categories (2011) (6)
Quillen Theorems Bn for homotopy pullbacks of (infinity, k)-categories (2012) (6)
A Π-algebra spectral sequence for function spaces (1994) (5)
On the $k$-cochains of a spectrum (1963) (5)
Advances in Homotopy Theory: The enveloping ring of a II-algebra (1989) (5)
A Quillen theorem Bn for homotopy pullbacks (2011) (4)
Sullivan’s de Rham complex is definable in terms of its 0-forms (1976) (4)
Is an ss complex a css complex (1970) (4)
A characterization of simplicial localization functors (2010) (4)
In the category of relative categories the Rezk equivalences are exactly the DK-equivalences (2010) (4)
Homology with simplicial coefficients (1989) (3)
Homotopy inverse limits (1972) (3)
Simplicial Localization!3 of Categories* (2001) (2)
A Whitehead Theorem (1976) (2)
A Thomason-like Quillen equivalence between quasi-categories and relative categories (2011) (2)
Splitting spaces with finite group actions (1977) (1)
Towers of fibrations (1972) (1)
An axiomatization of the homotopy groups (1958) (1)
Correction to “the core of a ring” (1973) (1)
p-completions of nilpotent spaces (1972) (0)
Representations in nilpotent groups (1978) (0)
An R-completion of groups and its relation to the R-completion of spaces (1972) (0)
R-localizations of nilpotent spaces (1972) (0)
The possibility of defining the homotopy groups of a simplicial complex in terms ly of its simplicial structure was implicit in the results of a previous note.2 (2016) (0)
Erratum to: Tower lemmas (1972) (0)
Summary of Part II (2005) (0)
Simplicial sets and topological spaces (1972) (0)
Homotopy direct limits (1972) (0)
Homotopy colimit and limit functors and homotopical ones (2005) (0)
Model categories and their homotopy categories (2005) (0)
SELF HOMOTOPY EQUIVALENCES OF POSTNIKOV CONJUGATES 1 (2010) (0)
THE HOMOTOPY SPECTRAL SEQUENCE OF COEFFICIENTS IN A RING?_ (2001) (0)
Erratum to: p-completions of nilpotent spaces (1972) (0)
Erratum to: The R-completion of a space (1972) (0)
A Combinatorial Definition of Homotopy Groups Author ( s ) : (2015) (0)
The R-completion of a space (1972) (0)
A glimpse at the R-completion of non-nilpotent spaces (1972) (0)
Homotopical cocompleteness and completeness of model categories (2005) (0)
Deformable functors and their approximations (2005) (0)
Homotopical categories and homotopical functors (2005) (0)

This paper list is powered by the following services:

Other Resources About Daniel Kan

en.wikipedia.org

What Schools Are Affiliated With Daniel Kan?

Daniel Kan is affiliated with the following schools:

Image Attributions

Image Source for Daniel Kan