Concepedia

Continuity In Geometry

Continuity in Geometry is a theoretical framework within the philosophy of geometry that formalizes the intuitive notion of seamless, infinitesimal transitions between geometric configurations, distinguishing itself by its reliance on topological and analytic criteria to articulate the conditions under which spatial forms or structures vary without discrete breaks or singularities.

78

Publications

3.2K

Citations

114

Authors

73

Institutions

Publications per year

2017–2026

5

Parents

Publications

78

Introduction to Topology and Modern Analysis.

Arthur E. Danese, George F. Simmons · American Mathematical Monthly · 1964 · 749 citations

, , +10

A Decomposition of Continuity in Topological Spaces

Norman Levine · American Mathematical Monthly · 1961 · 236 citations

, , +4

The role of physical and conceptual properties in preserving object continuity.

Robert D. Gordon, David E. Irwin · Journal of Experimental Psychology Learning Memory and Cognition · 2000 · 123 citations

, , +8

Continuity in quantitative domains

Qi-Ye Zhang, Lei Fan · Fuzzy Sets and Systems · 2005 · 108 citations

, , +5

Quantales and continuity spaces

Robert C. Flagg · Algebra Universalis · 1997 · 101 citations

, , +9

1–5 of 78

Authors

114

  1. FD
    Frank Deutsch

    Pennsylvania State University, United States

    2 publications · 51 citations

    2

    h-index

  2. BB
    Bruno Brosowski

    Pennsylvania State University, United States

    2 publications · 51 citations

    2

    h-index

  3. RD
    Robert D. Gordon

    University of Pittsburgh, United States

    2 publications · 180 citations

    2

    h-index

  4. DE
    David E. Irwin

    University of Illinois Urbana-Champaign, United States

    2 publications · 180 citations

    2

    h-index

  5. KY
    Kunizô Yoneyama

    2 publications · 37 citations

    2

    h-index

1–5 of 114

Institutions

73

  1. Capital Normal University

    Beijing, China

    2 h-index

    2 publications

    123 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    43 citations

  3. University of Southern Maine

    Portland, United States

    2 h-index

    2 publications

    191 citations

  4. University of Illinois Urbana-Champaign

    Urbana, United States

    2 h-index

    2 publications

    160 citations

  5. University of Chicago

    Chicago, United States

    2 h-index

    3 publications

    42 citations

  6. Yale University

    New Haven, United States

    2 h-index

    2 publications

    37 citations

  7. Institute for Advanced Study

    Princeton, United States

    2 h-index

    2 publications

    102 citations

  8. Universidad Complutense de Madrid

    Madrid, Spain

    2 h-index

    4 publications

    86 citations

1–8 of 73

Venues

  1. American Mathematical Monthly

    3 publications · 1K citations

    3

    h-index

  2. 3

    h-index

  3. 3

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 3 publications · 68 citations

    3

    h-index

  5. Computer Aided Geometric Design

    3 publications · 116 citations

    3

    h-index

1–5