Concepedia

Dimension Lowering Theorems

Dimension Lowering Theorems is a mathematical framework within dimension theory that establishes conditions under which the covering dimension or inductive dimension of a topological space decreases under continuous mappings or specific structural operations.

34

Publications

1.1K

Citations

56

Authors

45

Institutions

Publications per year

2017–2026

1

Parents

Publications

34

On the impossibility of dimension reduction in l <sub>1</sub>

Bo Brinkman, Moses Charikar · Journal of the ACM · 2005 · 140 citations

, , +11

Resolving maps and the dimension group for shifts of finite type

Mike Boyle, Brian Marcus, Paul Trow · Memoirs of the American Mathematical Society · 1987 · 113 citations

, , +12

On the Dimension of Kakeya Sets and Related Maximal Inequalities

Jean Bourgain · Geometric and Functional Analysis · 1999 · 109 citations

, , +13

Irreducibility and dimension theorems for families of height 3 Gorenstein algebras

Susan Diesel · Pacific Journal of Mathematics · 1996 · 104 citations · Full text

, , +12

Dimension and embedding theorems for geometric lattices

William M. Kantor · Journal of Combinatorial Theory Series A · 1974 · 67 citations

, , +12

1–5 of 34

Authors

56

  1. JT
    Jeremy T. Tyson

    University of Illinois Urbana-Champaign, United States

    2 publications · 51 citations

    2

    h-index

  2. AD
    Alexander Dranishnikov

    University of Florida, United States

    2 publications · 50 citations

    2

    h-index

  3. KN
    Keiô Nagami

    Ehime University, Japan

    2 publications · 28 citations

    2

    h-index

  4. RF
    Ralph Ford

    Pennsylvania State University, United States

    1 publications · 14 citations

    1

    h-index

  5. KB
    Karol Borsuk

    1 publications · 10 citations

    1

    h-index

1–5 of 56

Institutions

45

  1. Ehime University

    Matsuyama, Japan

    2 h-index

    2 publications

    28 citations

  2. Institute for Advanced Study

    Princeton, United States

    2 h-index

    3 publications

    171 citations

  3. Stony Brook University

    Stony Brook, United States

    2 h-index

    2 publications

    49 citations

  4. University of Patras

    Pátrai, Greece

    2 h-index

    2 publications

    34 citations

  5. Yangon University Of Distance Education

    Yangon, Myanmar

    1 h-index

    1 publications

    32 citations

  6. University of Utah

    Salt Lake City, United States

    1 h-index

    1 publications

    11 citations

  7. Sorbonne Université

    Paris, France

    1 h-index

    2 publications

    24 citations

  8. Weizmann Institute of Science

    Rehovot, Israel

    1 h-index

    2 publications

    22 citations

1–8 of 45

Venues

  1. Russian Mathematical Surveys

    3 publications · 60 citations

    3

    h-index

  2. Physics Letters B

    2 publications · 41 citations

    2

    h-index

  3. Duke Mathematical Journal

    DMJ · 2 publications · 39 citations

    2

    h-index

  4. Discrete & Computational Geometry

    2 publications · 34 citations

    2

    h-index

  5. Annals of Mathematics

    1 publications · 12 citations

    1

    h-index

1–5