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We consider a real analytic map   $F = \left (f_1,\ldots ,f_k\right ) : (\mathbb {R}^n,0) \rightarrow \left (\mathbb {R}^k,0\right )$  ,   $2 \le k \le n-1$  , that satisfies Milnor's conditions (a) and (b) introduced by D. Massey. This implies that every real analytic map   $f_I=(f_{i_1},\ldots ,f_{i_l}) : (\mathbb {R}^n,0) \rightarrow \left (\mathbb {R}^l,0\right )$  , induced from   $F$   by projections where   $1 \le l \le n-2$   and   $I=\{i_1,\ldots ,i_l\}$  , also satisfies Milnor's conditions (a) and (b). We give several relations between the topology of the Milnor fibre of   $F$  , the Milnor fibres of the maps   $f_I$  , the link of   $F^{-1}(0),$   and the links of   $f_I^{-1}(0)$  .

Topology of Real Milnor Fibrations for Non-Isolated Singularities