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Carlos Benjamin de Lyra

Carlos Benjamin de Lyra, Brazilian mathematician (Recife 23 November 1927 – São Paulo 21 July 1974)


Proved the existence of a minimal subcomplex of the cubical singular complex of a topological space (1954)


Proved some theorems characterizing spaces having the homotopy type of locally finite or finite polyhedral (1960)

 

Enunciated theorem of de Lyra

On spaces of the same homotopy type as polyhedra. Boletim Soc. Mat. São Paulo 12(1-2): 43-61, 1957 (Separata)

His thesis, H-equivalência de grupos topológicos (1968) gained international projection


SOME BIBLIOGRAPHY

SHM-maps of CW-groups. Quart. J. Math. 27:139-57, 1976

Caracterização dos SHM-morfismos para grupos topológicos. Anais Acad. Bras. Ciencias 47(1), 1975

Grupo fundamental e revestimentos (1969)

On a conjecture in homotopy. Anais Acad. Bras. Ciencias 37(2):167-84, 1965

Espaços do tipo de homotopia de poliedros finitos. Anais Acad. Bras. Ciencias 31(2):14-5, 1959   

On circle boundles over complex projective spaces. Anais Acad. Bras. Ciencias 31(1):17-24, 1959

On the homotopy type of a factor space. Anais Acad Bras. Ciencias 30(1):37-41, 1958

Minimal complexes and maps. Bol. Soc. Mat. São Paulo 7:84-98, 1954

A note on Zorn’s theorem. Bol. Soc. Mat. S. Paulo 4:63-5, 1949

Introdução a topologia algébrica

Método de Whitehead na teoria da homotopia