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About Goro Kato
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Professor, Mathematics,
California Polytechnic State University, San Luis Obispo
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Articles
Contributions to Books
Conference Proceedings
Articles
(15)
Article
Temporal Topos and U-Singularities
The Big Bang: Theory, Assumptions, and Problems (2012)
Goro C. Kato
Several papers and books by C. Isham, C.Isham-A. Doering, F. Van Oystaeyen, A.Mallios-I. Raptis, C. Mulvey, and Guts and Grinkevich, ...
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Article
u
-Singularity and
t
-Topos Theoretic Entropy
International Journal of Theoretical Physics (2010)
Goro C. Kato
We will give descriptions of u-singularities as we introduce the notion of t-topos theoretic entropies. The unifying methodology for a ...
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Article
Urcohomologies and Cohomologies of N -Complexes
Portugaliae Mathematica (2010)
Naoya Hiramatsu and Goro Kato
For a general sequence of objects and morphisms, we construct two N-complexes. Then we can define cohomologies (i, k)-type of ...
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Article
Microcosm to Macrocosm Via the Notion of a Sheaf (Observers ...
Physics of Emergence and Organization (2008)
Goro Kato
The fundamental approach toward matter, space and time is that particles (either objects of macrocosm or microcosm), space and time ...
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Article
Sheaf Theoretic Formulation of Entanglement
Quantum Biosystems (2008)
Goro C. Kato
A formulation in terms of sheaf theoretic (or categorical) notions for quantum entanglement is given with direct experimental consequences. The ...
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Article
Double-Slit Interference and Temporal Topos
Foundations of Physics (2006)
Goro Kato and Tsunefumi Tanaka
The electron double-slit interference is re-examined from the point of view of temporal topos. Temporal topos (or t-topos) is an ...
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Article
Elemental t.g. Principles of Relativistic t-Topos (Presheafification of Matter ...
Europhysics Letters (2005)
Goro Kato
We would like to solve the following problem: find a mathematical model formulating I) quantum entanglement, II) particle-wave duality, III) ...
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Article
Elemental principles of
t
-topos
Europhysics Letters (EPL) (2004)
Goro Kato
In this paper, a sheaf-theoretic approach toward fundamental problems in quantum physics is made. For example, the particle-wave duality depends ...
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Article
A Sheaf Theoretic Approach to Consciousness
The Noetic Journal (1999)
Goro Kato and Daniele C. Struppa
A new fundamental mathematical model of consciousness based on category theory is presented. The model is based on two philosophical-theological ...
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Article
A
p
-Adic Cohomological Method for the Weierstrass Family and ...
Contemporary Mathematics (1992)
Goro Kato
After a survey of the Weierstrass family and cohomology, we compute the lifted homology of the Weierstrass family with compact ...
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Article
Lifted p-Adic Homology with Compact Supports of the Weierstrass Family ...
Journal of Number Theory (1990)
Goro Kato
The relations among the generators for the lifted p-adic homology with compact supports of the various subfamilies of the Weierstrass ...
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Article
On the Notion of Precohomology
Portugaliae Mathematica (1985)
Goro Kato
ABSTRACT. For a cochain complex one can have the cohomology functor. In this paper we introduce the notion of precohomology ...
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Article
On the Generators of the First Homology with Compact Supports ...
Transactions of the American Mathematical Society (1983)
Goro Kato
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Article
Zeta Matrices of Elliptic Curves
Journal of Number Theory (1982)
Goro Kato and Saul Lubkin
Let O=limnZ/pnZ, , let A=O[g2,g3] Δ, where g2 and g3 are coefficients of the elliptic curve: Y2 = 4X3 − ...
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Article
Second Leray Spectral Sequence of Relative Hypercohomology
Proceedings of National Academy of Sciences of U.S.A (1978)
Saul Lubkin and Goro C. Kato
A second Leray spectral sequence of relative hypercohomology is constructed. (This is skew in generality to an earlier one constructed ...
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Contributions to Books
(1)
Contribution to Book
Category Theory and Consciousness
No Matter Never Mind (2002)
Goro Kato and Daniele C. Struppa
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Conference Proceedings
(1)
Presentation
Sheaf Cohomology of Conscious Entity
International Journal of Computing Anticipatory Systems (2002)
Goro Kato
Awareness of a conscious entity can exist without elements; therefore, the general notion of an object of a category is ...
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