Katsuya Eda
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Mathematician
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Katsuya Edamathematics Degrees
Mathematics
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Group Theory
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Algebra
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Measure Theory
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Mathematics
Katsuya Eda's Degrees
- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo
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Why Is Katsuya Eda Influential?
(Suggest an Edit or Addition)According to Wikipedia, is a mathematician, currently a professor at Waseda University. His research centers on set theory and its applications, particularly in algebraic topology. He has done a great deal of work on the fundamental group of the Hawaiian earring and related subjects.
Katsuya Eda'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
- Free σ-products and noncommutatively slender groups (1992) (98)
- The fundamental groups of one-dimensional spaces and spatial homomorphisms (2002) (50)
- On a Boolean power of a torsion free Abelian group (1983) (47)
- The Singular Homology of the Hawaiian Earring (2000) (44)
- The fundamental groups of one-dimensional spaces (1998) (43)
- Homotopy and homology groups of the n-dimensional Hawaiian earring (2000) (36)
- A Generalized Direct Product of Abelian Groups (1985) (30)
- Free σ-products and fundamental groups of subspaces of the plane (1998) (29)
- Fundamental groups having the whole information of spaces (2005) (27)
- THE FIRST INTEGRAL SINGUAR HOMOLOGY GROUPS OF ONE POINT UNIONS (1991) (26)
- A Boolean power and a direct product of abelian groups (1982) (26)
- A characterization of ℵ1-free abelian groups and its application to the chase radical (1987) (25)
- Compact cardinals and abelian groups (1987) (23)
- Chapter 12 N-Compactness and Its Applications (1989) (23)
- Sequential fans in topology (1995) (22)
- On ℤ-kernel groups (1983) (22)
- Slender modules, endo-slender abelian groups and large cardinals (1990) (22)
- Boolean Powers of Abelian Groups (1990) (19)
- Free Subgroups of the Fundamental Group of the Hawaiian Earring (1999) (19)
- Homotopy types of one-dimensional Peano continua (2010) (16)
- Cotorsion-free groups from a topological viewpoint (2014) (15)
- The fundamental groups of one-dimensional wild spaces and the Hawaiian earring (2001) (14)
- Singular homology groups of one-dimensional Peano continua (2016) (12)
- On (co)homology locally connected spaces (2002) (12)
- The Non-commutative Specker Phenomenon (1998) (12)
- The surjectivity of the canonical homomorphism from singular homology to Cech homology (1999) (12)
- Finite sheeted covering maps over 2-dimensional connected, compact Abelian groups (2006) (11)
- A factor of singular homology (1991) (11)
- Prime subspaces in free topological groups (1995) (10)
- A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions (2008) (9)
- Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces (2011) (9)
- A construction of noncontractible simply connected cell-like two-dimensional Peano continua (2007) (9)
- The tightness about sequential fans and combinatorial properties (1997) (8)
- Abelian groups of continuous functions and their duals (1993) (8)
- Free Subgroups of Free Complete Products (2002) (8)
- $Z$-kernel groups of measurable cardinalities (1984) (8)
- Algebraic topology of Peano continua (2005) (7)
- A locally simply connected space and fundamental groups of one point unions of cones (1992) (7)
- A note on subgroups of ZN (1983) (7)
- The Fundamental Groups of Certain One-Dimensional Spaces (2000) (7)
- The Effect of Curvature on the Instability of a Solid/Liquid Interface (2005) (7)
- On the second homotopy group of $SC(Z)$ (2009) (7)
- Torus-like continua which are not self-covering spaces (2005) (6)
- Spaces which contain a copy of the rationals (1990) (6)
- First countability and local simple connectivity of one point unions (1990) (6)
- On Boolean powers of the group Z and (ω, ω)-weak distributivity (1984) (6)
- On 2-dimensional Nonaspherical Cell-like Peano Continua: A Simplified Approach (2013) (5)
- THE NON-COMMUTATIVE SPECKER PHENOMENON IN THE UNCOUNTABLE CASE (2000) (5)
- On Snake cones, Alternating cones and related constructions (2013) (5)
- A minimal flabby sheaf and an abelian group (1983) (4)
- On the Singular Homology of One Class of Simply-connected Cell-like Spaces (2011) (4)
- Finite index supergroups and subgroups of torsionfree abelian groups of rank two (2008) (4)
- Correction to: “Algebraic topology of Peano continua” [Topology Appl. 153 (2–3) (2005) 213–226] and “Fundamental groups having the whole information of spaces” [Topology Appl. 146–147 (2005) 317–328] (2007) (3)
- Trees, fundamental groups and homology groups (2001) (3)
- On the fundamental group of $\mathbb R^3$ modulo the Case-Chamberlin continuum (2007) (3)
- Covering maps over solenoids which are not covering homomorphisms (2013) (3)
- The classification of the inverse limits of sequences of free groups of finite rank (2013) (3)
- Note on a property specific to the tent map (2008) (2)
- The Dugundji extension theorem and extension degree (1995) (1)
- Correction to : “ Algebraic topology of Peano continua (2006) (1)
- Maps from the Minimal Grope to an Arbitrary Grope (2013) (1)
- A note on the hereditary properties in the product space (1980) (1)
- Rigidity of the Minimal Grope Group (2006) (1)
- Group theoretic properties for wild algebraic topology (2011) (1)
- Existence and uniqueness of group structures on covering spaces over groups (2017) (1)
- Difference and differential equations (from a point of view of asymptotic cones) (2014) (0)
- Limit systems and chain condition (1980) (0)
- A BOOLEAN POWER AND A DIRECT PRODUCT OF ARFJJAN CR.OITPS By (2008) (0)
- From uncountable abelian groups to uncountable nonabelian groups (2020) (0)
- COMPACT CARDINALS AND ABELIAN GROURS By (2008) (0)
- A FACTOR OF SINGULAR HQMQLQGY (1991) (0)
- One-dimensional Peano continua with zero-dimensional wild part (2022) (0)
- INTRODUCTION TO NON-STANDARD ANALYSIS: CONNECTIONS AMONG ASYMPTOTIC CONES, TROPICAL GEOMETRY AND THE MASLOV CORRESPONDENCE (2008) (0)
- On 2-dimensional Nonaspherical Cell-like Peano Continua: A Simplified Approach (2011) (0)
- Cardinality restrictions of preradicals : To appear in the proceedings of the Perth conference at Austrailia in 1987 (1988) (0)
- QUESTION AND HOMOMORPHISMS ON ARCHIPELAGO GROUPS (2019) (0)
- Support property of 0-dimensional compact spaces concerning Abelian groups of integer-valued continuous functions (1989) (0)
- Making spaces wild (simply-connected case) (2020) (0)
- Lecture1: Algebraic topology of one-dimensional continua ˇ Cech homotopy groups of one-dimensional continua (2013) (0)
- Infinitary braid groups (2017) (0)
- Completions and co-products of Heyting algebras (1981) (0)
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What Schools Are Affiliated With Katsuya Eda?
Katsuya Eda is affiliated with the following schools: