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August 16, 2026Open Access

PFUSRC-150 From Complex Analysis to Tensor Analysis: The Universal Unfolding Protocol of the Topological One at the Projection Layer ——Topological Reassignment of Calculus, Complex Analysis, Vector Analysis, Functional Analysis, and Tensor Analysis Document No.: PFUSRC-150

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Integrate topological reconstructions of calculus, complex analysis, vector analysis, functional analysis, and tensor analysis into a unified ontological framework centered on the Topological One.
Synthesized theoretical conclusions from prior monograph series without introducing new mathematical derivations or proofs.
Mapped the triple classification of mathematics and connected the ontological framework to multi-level hierarchical dynamics.
Redefined five major branches of analysis as the projection-layer unfolding of the Topological One, establishing it as their unified convergence endpoint rather than zero.
Delineated categorical boundaries between ontological, instrumental, and abstract mathematics while characterizing the physical constraints of tensor dimensionality.

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Implication

Theoretical monograph demonstrates a unified convergence across five branches of analysis to the Topological One, suggesting an integrated ontological architecture for mathematical analysis.

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Zhenmin Wang (2026) studied this question.

synapsesocial.com/papers/6a817a33f2fb91fc834add5f https://doi.org/10.5281/zenodo.21929156

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Implication

Theoretical monograph demonstrates a unified convergence across five branches of analysis to the Topological One, suggesting an integrated ontological architecture for mathematical analysis.

PFUSRC-150 From Complex Analysis to Tensor Analysis: The Universal Unfolding Protocol of the Topological One at the Projection Layer ——Topological Reassignment of Calculus, Complex Analysis, Vector Analysis, Functional Analysis, and Tensor Analysis Document No.: PFUSRC-150

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Implication

Cite This Study

PFUSRC-150 From Complex Analysis to Tensor Analysis: The Universal Unfolding Protocol of the Topological One at the Projection Layer ——Topological Reassignment of Calculus, Complex Analysis, Vector Analysis, Functional Analysis, and Tensor Analysis Document No.: PFUSRC-150

Key Points

Discussion

Implication

Cite This Study

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