Ernest Michael | Academic Influence

Ernest Michael's AcademicInfluence.com Rankings

Ernest Michael

Mathematics

#2658

World Rank

#4065

Historical Rank

#1034

USA Rank

Measure Theory

#547

World Rank

#762

Historical Rank

#227

USA Rank

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Mathematics

Ernest Michael's Degrees

Bachelors Mathematics University of Chicago

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Why Is Ernest Michael Influential?

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According to Wikipedia, Ernest A. Michael was a prominent American mathematician known for his work in the field of general topology, most notably for his pioneering research on set-valued mappings. He is credited with developing the theory of continuous selections. The Michael selection theorem is named for him, which he proved in . Michael is also known in topology for the Michael line, a paracompact space whose product with the topological space of the irrational numbers is not normal. He wrote over 100 papers, mostly in the area of general topology.

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Ernest Michael'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

Continuous Selections. I (1956) (1414)
Topologies on spaces of subsets (1951) (1071)
Locally Multiplicatively-convex Topological Algebras (1952) (471)
A quintuple quotient quest (1972) (231)
A note on paracompact spaces (1953) (210)
Continuous Selections II (1956) (209)
Spaces determined by point-countable covers (1984) (179)
Selected Selection Theorems (1956) (168)
The product of a normal space and a metric space need not be normal (1963) (161)
Metrizability of certain countable unions (1964) (159)
A note on closed maps and compact sets (1964) (141)
Bi-quotient maps and cartesian products of quotient maps (1968) (139)
Convex Structures and Continuous Selections (1959) (125)
A theorem on semi-continuous set-valued functions (1959) (101)
Another note on paracompact spaces (1957) (100)
Point-Finite And Locally Finite Coverings (1955) (85)
Some extension theorems for continuous functions (1953) (80)
Local properties of topological spaces (1954) (77)
Complete spaces and tri-quotient maps (1977) (71)
Continuous Selections III (1957) (63)
Separable Banach spaces which admitln∞ approximations (1966) (57)
Local compactness and cartesian products of quotient maps and $K$-spaces (1968) (55)
Yet another note on paracompact spaces (1959) (47)
A NOTE ON COMPLETELY METRIZABLE SPACES (1986) (45)
Topological well-ordering and continuous selections (1968) (45)
A note on Eberlein compacts. (1977) (40)
A selection theorem (1966) (37)
A short proof of the Arens-Eells embedding theorem (1964) (35)
On $k$-spaces, $k_R$-spaces and $k(X)$. (1973) (35)
Almost complete spaces, hypercomplete spaces and related mapping theorems (1991) (35)
Compact-covering images of metric spaces (1973) (33)
A linear extension theorem (1967) (31)
Continuous selections and countable sets (1981) (29)
ON CERTAIN POINT-COUNTABLE COVERS (1976) (27)
Continuous selections avoiding a set (1988) (26)
Quotients of the space of irrationals (1969) (25)
On local and uniformly local topological properties (1956) (22)
A-spaces and countably bi-quotient maps (1976) (22)
A property of the Sorgenfrey line (1971) (21)
A unified theorem on continuous selections. (1980) (19)
On a theorem of Rudin and Klee (1961) (19)
Dense families of continuous selections (1959) (18)
On representing spaces as images of metrizable and related spaces (1971) (17)
A generalization of a theorem on continuous selections (1989) (17)
A survey of continuous selections (1970) (16)
Another note on Eberlein compacts. (1977) (15)
Continuous selections and finite-dimensional sets. (1980) (15)
Peaked partition subspaces of $C(X)$ (1967) (14)
Partition-complete spaces are preserved by tri-quotient maps (1992) (14)
A Linear Mapping Between Function Spaces (1964) (14)
On maps related to σ-locally finite and σ-discrete collections of sets (1982) (13)
Three mapping theorems (1964) (12)
Representing spaces as images of zero-dimensional spaces (1993) (12)
A note on intersections (1962) (11)
Inductively perfect maps and tri-quotient maps (1981) (10)
On a theorem of V. V. Filippov (1972) (9)
On maps related to $\sigma $-locally finite and $\sigma $-discrete collections of sets. (1982) (9)
Closed retracts and perfect retracts (2002) (9)
A RESULT ON SHRINKABLE OPEN COVERS (1983) (9)
Completing a spread (in the sense of R. H. Fox) without local connectedness (1963) (9)
locally finite maps (1977) (8)
$G_\delta$ sections and compact-covering maps (1969) (7)
Partition-complete spaces and their preservation by tri-quotient and related maps (1996) (7)
A Class of Partially Ordered Sets (1960) (6)
Countably bi-quotient maps and a-spaces (1974) (6)
A PARAMETRIZATION THEOREM (1985) (5)
A theorem of Nepomnyashchii on continuous subset-selections (2004) (4)
A Survey of -Spaces (2002) (4)
Transformations from a linear space with weak topology (1952) (4)
Continuous selections in Banach spaces (1963) (4)
A note on convex Gδ-subsets of Banach spaces (2008) (3)
A linear mappping between function spaces (1964) (3)
Correction to "A Note on Completely Metrizable Spaces" (1987) (3)
Continuous selections and complete metrizability of the range (2010) (2)
Quotients of countable complete metric spaces (1976) (2)
Partition-complete paracompact k-spaces are preserved by closed maps (1999) (2)
Shorter Notes: A Theorem on Perfect Maps (1971) (1)
Errata: A Note on Paracompact Spaces (1953) (1)
A theorem on pefect maps (1971) (1)
A note on a selection theorem (1987) (1)
On a map from a function space to a hyperspace (1965) (1)
d-12 – Paracompact Spaces (2003) (1)
A note on a set-valued extension property (2011) (1)
c-8 – Continuous Selections (2003) (0)
ON LOCAL AND UNIFORMLY LOCAL TOPOLOGICAL PROPERTIES1 (2010) (0)
A survey of J-spaces (2002) (0)
On two theorems of V. V. Filippov (1972) (0)
Shorter Notes: Quotients of Countable Complete Metric Spaces (1976) (0)
ON β-SPACES, ^-SPACES AND k(X) (2012) (0)
Errata: A Note on Intersections (1962) (0)

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