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Freedman: topology of four-dimensional manifolds

Established classification and existence results for simply connected topological four-manifolds via their intersection forms and proved the topological four-dimensional Poincaré conjecture as a consequence.

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Established classification and existence results for simply connected topological four-manifolds via their intersection forms and proved the topological four-dimensional Poincaré conjecture as a consequence.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is Freedman's sole-author 1982 Journal of Differential Geometry paper. It concerns topological four-manifolds under the paper's hypotheses; smooth classification, Donaldson theory and later refinements remain separate.

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People and systems

Michael H. Freedman

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

Freedman: topology of four-dimensional manifolds

Established classification and existence results for simply connected topological four-manifolds via their intersection forms and proved the topological four-dimensional Poincaré conjecture as a consequence.

Scientific scope

The record is Freedman's sole-author 1982 Journal of Differential Geometry paper. It concerns topological four-manifolds under the paper's hypotheses; smooth classification, Donaldson theory and later refinements remain separate.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Michael H. Freedman

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources