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‘He gave a topological characterisation of the plane which simplified considerably the Jordan curve theorem.’
‘One of the main problems has been and remains the classification of these algebras as intrinsic algebraic and topological objects.’
‘Three important papers on plane topology proved the topological invariance of the dimension of the square.’
‘He discovered characterisations of topological mappings of the Cartesian plane and a number of fixed point theorems.’
‘There is a third way in which topological concepts entered mathematics, namely via functional analysis.’
‘The author has succeeded in writing a book understandable to readers with very little knowledge of functional analysis and topological vector spaces.’
‘The object of the course was to study the modular group and some of its subgroups, with help of algebraic rather than analytic or topological methods.’
‘In the first addition most of the topological concepts are dealt with in an supplement to Volume 3.’
‘Most of the features for surfaces appearing in this book are closely related to topological geometry.’
‘Morse theory is important in the field of global analysis which is the study of ordinary and partial differential equations from a global or topological point of view.’
‘Euclidean geometry studies Euclidean-space-structure, topology studies topological structures, and so on.’
‘He worked, in particular, on the theory of topological and metric mappings on 2-dimensional space.’
‘He constructed the classifying space of a topological group and gave a geometric realisation of a semi-simplicial complex.’
‘However he continued to work on topological ideas, in particular embedding complexes in Euclidean space.’
‘His idea was to use a topological - functional approach to the study of differential equations.’
‘Before 1920 he had shown that the homology of a simplicial complex is a topological invariant.’
‘They have very rich topological and geometrical structure; they may possess peculiar properties that do not occur in ordinary L p spaces.’
‘He seems to be just as good at bringing mathematics to life, especially rather elaborate topological constructions.’
‘In this work he coined the now familiar term topological algebra but the thesis is memorable in other ways too.’
‘This work continued through the early 1930s then in the late 1930s he studied ordered topological vector spaces.’