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Homotopy type theory

Known as: Homotopic type theory, Fibrations-as-Types interpretation, Fibrations-as-types 
In mathematical logic and computer science, homotopy type theory (HoTT) refers to various lines of development of intensional type theory, based on… 
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Papers overview

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2018
2018
In[KF1] 1914, in an essay entitled ‘Logic as the Essence of Philosophy’, Bertrand Russell promised to revolutionize philosophy by… 
2016
2016
A computational model for refining of data domains which are selected out in the property recognition over the Big Data sources… 
2015
2015
Martin-Lof’s Extensional Type Theory (ETT) has a straighforward semantics in the category Set of sets and functions and actually… 
2014
2014
We prove that any symplectic 4-manifold which is not a rational or ruled surface, after sufficiently many blow-ups, admits an… 
Review
2010
Review
2010
J. Nielsen [25] classified periodic maps on orientable surface by using a data describing the homomorphisms from the fundamental… 
2001
2001
This paper describes a morphological segmentation technique developed to assist clinicians and radiologists in conformal RTP. The… 
2000
2000
In this paper we will investigate torus actions on complete manifolds with calibrations. For Calabi-Yau manifolds M^2n with a… 
1991
1991
In this paper, we continue the study of the homotopy type of spaces of rational functions from S to CP begun in [3,4]. We prove… 
1970
1970
A homotopy n-manifold without boundary is a polyhedron M (i. e., a topological space along with a family of compatible…