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Edwin Spanier: Works & Standards

Edwin Henry Spanier (August 8, 1921 – October 11, 1996) was an American mathematician at the University of California at Berkeley, working in algebraic topology. He co-invented Spanier–Whitehead duality and Alexander–Spanier cohomology, and wrote what was for a long time the standard textbook on algebraic topology (Spanier 1981).

Language: English [EN]
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Edwin Spanier topic overview

The analysis highlights Works and Standards as prominent areas in the source structure around Edwin Spanier.

Related topics
21
Source areas
2
Connected nodes
23
Extracted relationships
9
Related term clusters
19
Bridge connections
23

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 19 topics
Publications · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Known for
Alexander–Spanier cohomology Dubins–Spanier theorems Spanier–Whitehead duality
Alma mater
University of Michigan (Ph.D.) University of Minnesota
Born
(1921-08-08)August 8, 1921 Washington, D.C.
Died
October 11, 1996(1996-10-11) (aged 75) Scottsdale, Arizona
Doctoral advisor
Norman Steenrod
Doctoral students
Morris William Hirsch Elon Lages Lima

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Publications

For the semantics nerds

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Advanced semantic analysis

How Edwin Spanier connects Entity context

The extracted context around Edwin Spanier shows recurring relationship patterns in the source. For example, Edwin Spanier → University of Michigan (Ph.D.) University of Minnesota Another extracted example is Edwin Spanier → (1921-08-08)August 8, 1921 Washington, D.C.. Use these groups to spot repeated connection types before inspecting the individual relationships.

Edwin Spanier

Top relations

Alma mater · 1
Edwin Spanier → University of Michigan (Ph.D.) University of Minnesota
Born · 1
Edwin Spanier → (1921-08-08)August 8, 1921 Washington, D.C.
Died · 1
Edwin Spanier → October 11, 1996(1996-10-11) (aged 75) Scottsdale, Arizona
Doctoral advisor · 1
Edwin Spanier → Norman Steenrod
Doctoral students · 1
Edwin Spanier → Morris William Hirsch Elon Lages Lima
Fields · 1
Edwin Spanier → Mathematics
Known for · 1
Edwin Spanier → Alexander–Spanier cohomology Dubins–Spanier theorems Spanier–Whitehead duality
Thesis · 1
Edwin Spanier → Cohomology Theory for General Spaces (1947)
Workplaces · 1
Edwin Spanier → UC Berkeley University of Chicago

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

spanier university berkeley cohomology algebraic topology edwin whitehead duality alexander minnesota ph michigan 1947 thesis theory general spaces norman steenrod

Edwin Spanier relationships Subject–Predicate–Object triples

TTTA extracted 9 structured relationships around Edwin Spanier. Examples in this analysis include Edwin Spanier → Alma mater → University of Michigan (Ph.D.) University of Minnesota and Edwin Spanier → Born → (1921-08-08)August 8, 1921 Washington, D.C.. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Edwin SpanierAlma materUniversity of Michigan (Ph.D.) University of Minnesota1.00infobox
Edwin SpanierBorn(1921-08-08)August 8, 1921 Washington, D.C.1.00infobox
Edwin SpanierDiedOctober 11, 1996(1996-10-11) (aged 75) Scottsdale, Arizona1.00infobox
Edwin SpanierDoctoral advisorNorman Steenrod1.00infobox
Edwin SpanierDoctoral studentsMorris William Hirsch Elon Lages Lima1.00infobox
Edwin SpanierFieldsMathematics1.00infobox
Edwin SpanierKnown forAlexander–Spanier cohomology Dubins–Spanier theorems Spanier–Whitehead duality1.00infobox
Edwin SpanierThesisCohomology Theory for General Spaces (1947)1.00infobox
Edwin SpanierWorkplacesUC Berkeley University of Chicago1.00infobox

Related concept clusters Related term clusters

The concept neighborhoods around Edwin Spanier bring nearby vocabulary together. In this analysis, examples include American, Mathematics and Algebraic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Edwin Spanier
    • American
    • Mathematics
    • Algebraic
    • Berkeley
    • Spanier
    • Topology
    • University
    • Alexander
    • August
    • Duality
    • Henry
    • Mathematician
  • edwin spanier
    • American
    • Mathematics
    • Algebraic
    • Berkeley
    • Spanier
    • Topology
    • University
    • Alexander
    • August
    • Duality
    • Henry
    • Mathematician
  • university of california at berkeley
    • Chicago
    • Uc
    • Algebraic
    • Edwin
    • Topology
    • University
    • Henry
    • Mathematician
    • Mathematics
    • October
    • Spanier
    • Doctoral
  • algebraic topology
    • Topology
    • Alexander
    • Duality
    • Whitehead
    • Berkeley
    • Cohomology
    • Edwin
    • Spanier
    • August
    • Henry
    • Mathematician
    • October
  • spanier–whitehead duality
    • Alexander
    • Duality
    • Whitehead
    • Algebraic
    • Cohomology
    • Topology
    • University
    • Chicago
    • Doctoral
    • General
    • Hirsch
    • Mathematics
  • alexander–spanier cohomology
    • Duality
    • Whitehead
    • Algebraic
    • Cohomology
    • General
    • Michigan
    • Norman
    • Ph
    • Spaces
    • Steenrod
    • Theory
    • Thesis
  • spanier 1981
    • Topology
    • University
    • Alexander
    • Duality
    • Mathematics
    • Minnesota
    • Whitehead
    • Cohomology
    • Chicago
    • Doctoral
    • General
    • Institute
  • university of chicago
    • Uc
    • Doctoral
    • Duality
    • Elon
    • General
    • Hirsch
    • Institute
    • Lages
    • Lima
    • Mathematics
    • Michigan
    • Minnesota

Connections between topic areas Semantic bridges

For Edwin Spanier, one of the stronger structural bridges in this analysis connects Edwin Spanier with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Edwin Spanier — Overview · splits 4 ⟂ 20
Edwin Spanier — Publications · splits 21 ⟂ 3

Map overview Semantic statistics

Edwin Spanier

Nodes24
Edges23
Triples9
Avg. degree1.92
Density0.083333
Components1

Source & methodology

TTTA analyzes the structure around Edwin Spanier to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works & Standards, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Edwin Spanier · EN edition · Analysis: TopicsToTalkAbout

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