6533b82cfe1ef96bd128ebc0

RESEARCH PRODUCT

Bipullbacks of fractions and the snail lemma

Pierre-alain JacqminPierre-alain JacqminGiuseppe MetereEnrico VitaleSandra Mantovani

subject

Pure mathematicsLemma (mathematics)Exact sequenceInternal groupoidAlgebra and Number Theory010102 general mathematicsMathematics - Category TheoryBicategory of fraction18B40 18D05 18E35 18G5001 natural sciencesMathematics::Algebraic TopologySettore MAT/02 - AlgebraExact categoryMathematics::K-Theory and HomologyMathematics::Category Theory0103 physical sciencesFOS: MathematicsBipullbackSnail lemmaCategory Theory (math.CT)010307 mathematical physics0101 mathematicsMathematics

description

Abstract We establish conditions giving the existence of bipullbacks in bicategories of fractions. We apply our results to construct a π 0 - π 1 exact sequence associated with a fractor between groupoids internal to a pointed exact category.

yearjournalcountryeditionlanguage
2017-07-04
http://arxiv.org/abs/1707.00873