A Theorem of Van Kampen Type for Pseudo Peano Continuum Spaces

Details A Theorem of Van Kampen Type for Pseudo Peano Continuum Spaces A Theorem of Van Kampen Type for Pseudo Peano Continuum Spaces

2011-03-09

arxiv.org/abs/1103.1738v1

Advances and Applications in Mathematical Sciences, 8:2 (2011) 127-140

Mathematics

Algebraic Topology

16 pages

Scientific paper

G. Conner and K. Eda (Topology and its Applications, 146, (2005), 317-328.) introduced a new construction of spaces from groups. They remarked that the construction is not categorical. In this paper, based on the work of Conner and Eda, we construct two new categories for which the functor of the fundamental group $\pi$ has a right adjoint and consequently is right exact and preseves direct limits. Also, we study the behavior of the functor $\pi$ on quotient spaces and give a new version of Van Kampen theorem for join of spaces in the new categories.

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